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Finding the Fourth Proportional to 225,814.97, 338,723.06 and 76,160.39

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Solution

The fourth proportional to 225,814.97, 338,723.06 and 76,160.39 is: 114,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,814.97 : 338,723.06 = 76,160.39 : x
  2. Step 2: Convert to fraction form
    225,814.97/338,723.06 = 76,160.39/x
  3. Step 3: Cross multiply
    225,814.97x = 338,723.06 × 76,160.39
  4. Step 4: Simplify right side
    225,814.97x = 25,797,278,277.18
  5. Step 5: Solve for x
    x = 25,797,278,277.18/225,814.97
  6. Step 6: Final answer
    x = 114,240.78

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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.