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Finding the Fourth Proportional to 125,231.88, 187,876.17 and 71,948.46

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Solution

The fourth proportional to 125,231.88, 187,876.17 and 71,948.46 is: 107,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,231.88 : 187,876.17 = 71,948.46 : x
  2. Step 2: Convert to fraction form
    125,231.88/187,876.17 = 71,948.46/x
  3. Step 3: Cross multiply
    125,231.88x = 187,876.17 × 71,948.46
  4. Step 4: Simplify right side
    125,231.88x = 13,517,401,102.20
  5. Step 5: Solve for x
    x = 13,517,401,102.20/125,231.88
  6. Step 6: Final answer
    x = 107,938.98

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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.