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Finding the Fourth Proportional to 137,542.32, 206,044.92 and 65,392.56

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Solution

The fourth proportional to 137,542.32, 206,044.92 and 65,392.56 is: 97,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,542.32 : 206,044.92 = 65,392.56 : x
  2. Step 2: Convert to fraction form
    137,542.32/206,044.92 = 65,392.56/x
  3. Step 3: Cross multiply
    137,542.32x = 206,044.92 × 65,392.56
  4. Step 4: Simplify right side
    137,542.32x = 13,473,804,793.80
  5. Step 5: Solve for x
    x = 13,473,804,793.80/137,542.32
  6. Step 6: Final answer
    x = 97,961.16

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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.