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Finding the Fourth Proportional to 225,471.21, 338,245.83 and 75,725.97

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Solution

The fourth proportional to 225,471.21, 338,245.83 and 75,725.97 is: 113,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,471.21 : 338,245.83 = 75,725.97 : x
  2. Step 2: Convert to fraction form
    225,471.21/338,245.83 = 75,725.97/x
  3. Step 3: Cross multiply
    225,471.21x = 338,245.83 × 75,725.97
  4. Step 4: Simplify right side
    225,471.21x = 25,613,993,575.21
  5. Step 5: Solve for x
    x = 25,613,993,575.21/225,471.21
  6. Step 6: Final answer
    x = 113,602.06

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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.