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Finding the Fourth Proportional to 220,906.38, 304,836.28 and 130,257.96

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Solution

The fourth proportional to 220,906.38, 304,836.28 and 130,257.96 is: 179,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,906.38 : 304,836.28 = 130,257.96 : x
  2. Step 2: Convert to fraction form
    220,906.38/304,836.28 = 130,257.96/x
  3. Step 3: Cross multiply
    220,906.38x = 304,836.28 × 130,257.96
  4. Step 4: Simplify right side
    220,906.38x = 39,707,351,966.79
  5. Step 5: Solve for x
    x = 39,707,351,966.79/220,906.38
  6. Step 6: Final answer
    x = 179,747.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.