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Finding the Fourth Proportional to 125,191.73, 187,818.36 and 36,446

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Solution

The fourth proportional to 125,191.73, 187,818.36 and 36,446 is: 54,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,191.73 : 187,818.36 = 36,446 : x
  2. Step 2: Convert to fraction form
    125,191.73/187,818.36 = 36,446/x
  3. Step 3: Cross multiply
    125,191.73x = 187,818.36 × 36,446
  4. Step 4: Simplify right side
    125,191.73x = 6,845,227,948.56
  5. Step 5: Solve for x
    x = 6,845,227,948.56/125,191.73
  6. Step 6: Final answer
    x = 54,677.96

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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.