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Finding the Fourth Proportional to 125,471.32, 188,167.32 and 41,217.64

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Solution

The fourth proportional to 125,471.32, 188,167.32 and 41,217.64 is: 61,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,471.32 : 188,167.32 = 41,217.64 : x
  2. Step 2: Convert to fraction form
    125,471.32/188,167.32 = 41,217.64/x
  3. Step 3: Cross multiply
    125,471.32x = 188,167.32 × 41,217.64
  4. Step 4: Simplify right side
    125,471.32x = 7,755,812,855.52
  5. Step 5: Solve for x
    x = 7,755,812,855.52/125,471.32
  6. Step 6: Final answer
    x = 61,813.43

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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.