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Finding the Fourth Proportional to 125,194.82, 187,766.91 and 40,957.65

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Solution

The fourth proportional to 125,194.82, 187,766.91 and 40,957.65 is: 61,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,194.82 : 187,766.91 = 40,957.65 : x
  2. Step 2: Convert to fraction form
    125,194.82/187,766.91 = 40,957.65/x
  3. Step 3: Cross multiply
    125,194.82x = 187,766.91 × 40,957.65
  4. Step 4: Simplify right side
    125,194.82x = 7,690,491,381.36
  5. Step 5: Solve for x
    x = 7,690,491,381.36/125,194.82
  6. Step 6: Final answer
    x = 61,428.19

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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.