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Finding the Fourth Proportional to 144,414.60, 216,449.10 and 74,257.80

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Solution

The fourth proportional to 144,414.60, 216,449.10 and 74,257.80 is: 111,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,414.60 : 216,449.10 = 74,257.80 : x
  2. Step 2: Convert to fraction form
    144,414.60/216,449.10 = 74,257.80/x
  3. Step 3: Cross multiply
    144,414.60x = 216,449.10 × 74,257.80
  4. Step 4: Simplify right side
    144,414.60x = 16,073,033,977.98
  5. Step 5: Solve for x
    x = 16,073,033,977.98/144,414.60
  6. Step 6: Final answer
    x = 111,297.85

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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.