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Finding the Fourth Proportional to 225,494.22, 338,249.56 and 75,739.44

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Solution

The fourth proportional to 225,494.22, 338,249.56 and 75,739.44 is: 113,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,494.22 : 338,249.56 = 75,739.44 : x
  2. Step 2: Convert to fraction form
    225,494.22/338,249.56 = 75,739.44/x
  3. Step 3: Cross multiply
    225,494.22x = 338,249.56 × 75,739.44
  4. Step 4: Simplify right side
    225,494.22x = 25,618,832,254.65
  5. Step 5: Solve for x
    x = 25,618,832,254.65/225,494.22
  6. Step 6: Final answer
    x = 113,611.92

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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.