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Finding the Fourth Proportional to 337,641.72, 506,275.60 and 138,102.22

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Solution

The fourth proportional to 337,641.72, 506,275.60 and 138,102.22 is: 207,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,641.72 : 506,275.60 = 138,102.22 : x
  2. Step 2: Convert to fraction form
    337,641.72/506,275.60 = 138,102.22/x
  3. Step 3: Cross multiply
    337,641.72x = 506,275.60 × 138,102.22
  4. Step 4: Simplify right side
    337,641.72x = 69,917,784,291.83
  5. Step 5: Solve for x
    x = 69,917,784,291.83/337,641.72
  6. Step 6: Final answer
    x = 207,076.85

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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.