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Finding the Fourth Proportional to 337,700.70, 506,363.94 and 138,161.16

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Solution

The fourth proportional to 337,700.70, 506,363.94 and 138,161.16 is: 207,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,700.70 : 506,363.94 = 138,161.16 : x
  2. Step 2: Convert to fraction form
    337,700.70/506,363.94 = 138,161.16/x
  3. Step 3: Cross multiply
    337,700.70x = 506,363.94 × 138,161.16
  4. Step 4: Simplify right side
    337,700.70x = 69,959,829,332.57
  5. Step 5: Solve for x
    x = 69,959,829,332.57/337,700.70
  6. Step 6: Final answer
    x = 207,165.19

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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.