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Finding the Fourth Proportional to 337,641.91, 506,275.89 and 138,102.42

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Solution

The fourth proportional to 337,641.91, 506,275.89 and 138,102.42 is: 207,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,641.91 : 506,275.89 = 138,102.42 : x
  2. Step 2: Convert to fraction form
    337,641.91/506,275.89 = 138,102.42/x
  3. Step 3: Cross multiply
    337,641.91x = 506,275.89 × 138,102.42
  4. Step 4: Simplify right side
    337,641.91x = 69,917,925,596.65
  5. Step 5: Solve for x
    x = 69,917,925,596.65/337,641.91
  6. Step 6: Final answer
    x = 207,077.15

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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.