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Finding the Fourth Proportional to 225,687.48, 338,443.68 and 120,449.04

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Solution

The fourth proportional to 225,687.48, 338,443.68 and 120,449.04 is: 180,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,687.48 : 338,443.68 = 120,449.04 : x
  2. Step 2: Convert to fraction form
    225,687.48/338,443.68 = 120,449.04/x
  3. Step 3: Cross multiply
    225,687.48x = 338,443.68 × 120,449.04
  4. Step 4: Simplify right side
    225,687.48x = 40,765,216,350.07
  5. Step 5: Solve for x
    x = 40,765,216,350.07/225,687.48
  6. Step 6: Final answer
    x = 180,626.84

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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.