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Finding the Fourth Proportional to 125,732.61, 188,604.81 and 41,500.13

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Solution

The fourth proportional to 125,732.61, 188,604.81 and 41,500.13 is: 62,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,732.61 : 188,604.81 = 41,500.13 : x
  2. Step 2: Convert to fraction form
    125,732.61/188,604.81 = 41,500.13/x
  3. Step 3: Cross multiply
    125,732.61x = 188,604.81 × 41,500.13
  4. Step 4: Simplify right side
    125,732.61x = 7,827,123,190.60
  5. Step 5: Solve for x
    x = 7,827,123,190.60/125,732.61
  6. Step 6: Final answer
    x = 62,252.13

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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.