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Finding the Fourth Proportional to 231,882, 347,695.20 and 71,913.66

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Solution

The fourth proportional to 231,882, 347,695.20 and 71,913.66 is: 107,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,882 : 347,695.20 = 71,913.66 : x
  2. Step 2: Convert to fraction form
    231,882/347,695.20 = 71,913.66/x
  3. Step 3: Cross multiply
    231,882x = 347,695.20 × 71,913.66
  4. Step 4: Simplify right side
    231,882x = 25,004,034,396.43
  5. Step 5: Solve for x
    x = 25,004,034,396.43/231,882
  6. Step 6: Final answer
    x = 107,830.86

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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.