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Finding the Fourth Proportional to 231,773.70, 347,714.76 and 71,841.24

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Solution

The fourth proportional to 231,773.70, 347,714.76 and 71,841.24 is: 107,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,773.70 : 347,714.76 = 71,841.24 : x
  2. Step 2: Convert to fraction form
    231,773.70/347,714.76 = 71,841.24/x
  3. Step 3: Cross multiply
    231,773.70x = 347,714.76 × 71,841.24
  4. Step 4: Simplify right side
    231,773.70x = 24,980,259,524.70
  5. Step 5: Solve for x
    x = 24,980,259,524.70/231,773.70
  6. Step 6: Final answer
    x = 107,778.66

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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.