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Finding the Fourth Proportional to 337,711.92, 506,568.51 and 138,032.16

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Solution

The fourth proportional to 337,711.92, 506,568.51 and 138,032.16 is: 207,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,711.92 : 506,568.51 = 138,032.16 : x
  2. Step 2: Convert to fraction form
    337,711.92/506,568.51 = 138,032.16/x
  3. Step 3: Cross multiply
    337,711.92x = 506,568.51 × 138,032.16
  4. Step 4: Simplify right side
    337,711.92x = 69,922,745,623.28
  5. Step 5: Solve for x
    x = 69,922,745,623.28/337,711.92
  6. Step 6: Final answer
    x = 207,048.50

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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.