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Finding the Fourth Proportional to 157,006.25, 216,662.45 and 85,386.25

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Solution

The fourth proportional to 157,006.25, 216,662.45 and 85,386.25 is: 117,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,006.25 : 216,662.45 = 85,386.25 : x
  2. Step 2: Convert to fraction form
    157,006.25/216,662.45 = 85,386.25/x
  3. Step 3: Cross multiply
    157,006.25x = 216,662.45 × 85,386.25
  4. Step 4: Simplify right side
    157,006.25x = 18,499,993,965.21
  5. Step 5: Solve for x
    x = 18,499,993,965.21/157,006.25
  6. Step 6: Final answer
    x = 117,829.67

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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.