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Finding the Fourth Proportional to 337,637.25, 506,268.90 and 138,097.76

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Solution

The fourth proportional to 337,637.25, 506,268.90 and 138,097.76 is: 207,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,637.25 : 506,268.90 = 138,097.76 : x
  2. Step 2: Convert to fraction form
    337,637.25/506,268.90 = 138,097.76/x
  3. Step 3: Cross multiply
    337,637.25x = 506,268.90 × 138,097.76
  4. Step 4: Simplify right side
    337,637.25x = 69,914,600,414.83
  5. Step 5: Solve for x
    x = 69,914,600,414.83/337,637.25
  6. Step 6: Final answer
    x = 207,070.17

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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.