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Finding the Fourth Proportional to 157,605.43, 217,512.25 and 96,387.43

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Solution

The fourth proportional to 157,605.43, 217,512.25 and 96,387.43 is: 133,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,605.43 : 217,512.25 = 96,387.43 : x
  2. Step 2: Convert to fraction form
    157,605.43/217,512.25 = 96,387.43/x
  3. Step 3: Cross multiply
    157,605.43x = 217,512.25 × 96,387.43
  4. Step 4: Simplify right side
    157,605.43x = 20,965,446,801.94
  5. Step 5: Solve for x
    x = 20,965,446,801.94/157,605.43
  6. Step 6: Final answer
    x = 133,024.90

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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.