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Finding the Fourth Proportional to 157,477.68, 217,317.11 and 85,857.57

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Solution

The fourth proportional to 157,477.68, 217,317.11 and 85,857.57 is: 118,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,477.68 : 217,317.11 = 85,857.57 : x
  2. Step 2: Convert to fraction form
    157,477.68/217,317.11 = 85,857.57/x
  3. Step 3: Cross multiply
    157,477.68x = 217,317.11 × 85,857.57
  4. Step 4: Simplify right side
    157,477.68x = 18,658,318,554.73
  5. Step 5: Solve for x
    x = 18,658,318,554.73/157,477.68
  6. Step 6: Final answer
    x = 118,482.31

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.