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Finding the Fourth Proportional to 137,663.92, 206,471.20 and 36,462.64

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Solution

The fourth proportional to 137,663.92, 206,471.20 and 36,462.64 is: 54,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,663.92 : 206,471.20 = 36,462.64 : x
  2. Step 2: Convert to fraction form
    137,663.92/206,471.20 = 36,462.64/x
  3. Step 3: Cross multiply
    137,663.92x = 206,471.20 × 36,462.64
  4. Step 4: Simplify right side
    137,663.92x = 7,528,485,035.97
  5. Step 5: Solve for x
    x = 7,528,485,035.97/137,663.92
  6. Step 6: Final answer
    x = 54,687.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.