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Finding the Fourth Proportional to 157,654.86, 217,455.39 and 93,943.50

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Solution

The fourth proportional to 157,654.86, 217,455.39 and 93,943.50 is: 129,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,654.86 : 217,455.39 = 93,943.50 : x
  2. Step 2: Convert to fraction form
    157,654.86/217,455.39 = 93,943.50/x
  3. Step 3: Cross multiply
    157,654.86x = 217,455.39 × 93,943.50
  4. Step 4: Simplify right side
    157,654.86x = 20,428,520,430.47
  5. Step 5: Solve for x
    x = 20,428,520,430.47/157,654.86
  6. Step 6: Final answer
    x = 129,577.49

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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.