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Finding the Fourth Proportional to 231,773.88, 347,715.05 and 71,841.44

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Solution

The fourth proportional to 231,773.88, 347,715.05 and 71,841.44 is: 107,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,773.88 : 347,715.05 = 71,841.44 : x
  2. Step 2: Convert to fraction form
    231,773.88/347,715.05 = 71,841.44/x
  3. Step 3: Cross multiply
    231,773.88x = 347,715.05 × 71,841.44
  4. Step 4: Simplify right side
    231,773.88x = 24,980,350,411.75
  5. Step 5: Solve for x
    x = 24,980,350,411.75/231,773.88
  6. Step 6: Final answer
    x = 107,778.97

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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.