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Finding the Fourth Proportional to 337,637.69, 506,269.56 and 138,098.20

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Solution

The fourth proportional to 337,637.69, 506,269.56 and 138,098.20 is: 207,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,637.69 : 506,269.56 = 138,098.20 : x
  2. Step 2: Convert to fraction form
    337,637.69/506,269.56 = 138,098.20/x
  3. Step 3: Cross multiply
    337,637.69x = 506,269.56 × 138,098.20
  4. Step 4: Simplify right side
    337,637.69x = 69,914,912,994.63
  5. Step 5: Solve for x
    x = 69,914,912,994.63/337,637.69
  6. Step 6: Final answer
    x = 207,070.82

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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.