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Finding the Fourth Proportional to 225,914.46, 338,755.95 and 119,355.61

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Solution

The fourth proportional to 225,914.46, 338,755.95 and 119,355.61 is: 178,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,914.46 : 338,755.95 = 119,355.61 : x
  2. Step 2: Convert to fraction form
    225,914.46/338,755.95 = 119,355.61/x
  3. Step 3: Cross multiply
    225,914.46x = 338,755.95 × 119,355.61
  4. Step 4: Simplify right side
    225,914.46x = 40,432,423,053.38
  5. Step 5: Solve for x
    x = 40,432,423,053.38/225,914.46
  6. Step 6: Final answer
    x = 178,972.27

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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.