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Finding the Fourth Proportional to 137,543.32, 206,046.42 and 65,393.56

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Solution

The fourth proportional to 137,543.32, 206,046.42 and 65,393.56 is: 97,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,543.32 : 206,046.42 = 65,393.56 : x
  2. Step 2: Convert to fraction form
    137,543.32/206,046.42 = 65,393.56/x
  3. Step 3: Cross multiply
    137,543.32x = 206,046.42 × 65,393.56
  4. Step 4: Simplify right side
    137,543.32x = 13,474,108,929.06
  5. Step 5: Solve for x
    x = 13,474,108,929.06/137,543.32
  6. Step 6: Final answer
    x = 97,962.66

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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.