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Finding the Fourth Proportional to 225,449.12, 338,229.84 and 67,680.48

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Solution

The fourth proportional to 225,449.12, 338,229.84 and 67,680.48 is: 101,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,449.12 : 338,229.84 = 67,680.48 : x
  2. Step 2: Convert to fraction form
    225,449.12/338,229.84 = 67,680.48/x
  3. Step 3: Cross multiply
    225,449.12x = 338,229.84 × 67,680.48
  4. Step 4: Simplify right side
    225,449.12x = 22,891,557,921.52
  5. Step 5: Solve for x
    x = 22,891,557,921.52/225,449.12
  6. Step 6: Final answer
    x = 101,537.58

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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.