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Finding the Fourth Proportional to 225,712.26, 338,624.82 and 159,282.06

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Solution

The fourth proportional to 225,712.26, 338,624.82 and 159,282.06 is: 238,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,712.26 : 338,624.82 = 159,282.06 : x
  2. Step 2: Convert to fraction form
    225,712.26/338,624.82 = 159,282.06/x
  3. Step 3: Cross multiply
    225,712.26x = 338,624.82 × 159,282.06
  4. Step 4: Simplify right side
    225,712.26x = 53,936,858,896.73
  5. Step 5: Solve for x
    x = 53,936,858,896.73/225,712.26
  6. Step 6: Final answer
    x = 238,962.91

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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.