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Finding the Fourth Proportional to 225,493.22, 338,248.06 and 75,738.44

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Solution

The fourth proportional to 225,493.22, 338,248.06 and 75,738.44 is: 113,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,493.22 : 338,248.06 = 75,738.44 : x
  2. Step 2: Convert to fraction form
    225,493.22/338,248.06 = 75,738.44/x
  3. Step 3: Cross multiply
    225,493.22x = 338,248.06 × 75,738.44
  4. Step 4: Simplify right side
    225,493.22x = 25,618,380,397.43
  5. Step 5: Solve for x
    x = 25,618,380,397.43/225,493.22
  6. Step 6: Final answer
    x = 113,610.42

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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.