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Finding the Fourth Proportional to 125,212.80, 187,819.50 and 36,468.48

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Solution

The fourth proportional to 125,212.80, 187,819.50 and 36,468.48 is: 54,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,212.80 : 187,819.50 = 36,468.48 : x
  2. Step 2: Convert to fraction form
    125,212.80/187,819.50 = 36,468.48/x
  3. Step 3: Cross multiply
    125,212.80x = 187,819.50 × 36,468.48
  4. Step 4: Simplify right side
    125,212.80x = 6,849,491,679.36
  5. Step 5: Solve for x
    x = 6,849,491,679.36/125,212.80
  6. Step 6: Final answer
    x = 54,702.81

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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.