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Finding the Fourth Proportional to 157,046.64, 216,722.08 and 85,427.24

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Solution

The fourth proportional to 157,046.64, 216,722.08 and 85,427.24 is: 117,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,046.64 : 216,722.08 = 85,427.24 : x
  2. Step 2: Convert to fraction form
    157,046.64/216,722.08 = 85,427.24/x
  3. Step 3: Cross multiply
    157,046.64x = 216,722.08 × 85,427.24
  4. Step 4: Simplify right side
    157,046.64x = 18,513,969,141.46
  5. Step 5: Solve for x
    x = 18,513,969,141.46/157,046.64
  6. Step 6: Final answer
    x = 117,888.35

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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.