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Finding the Fourth Proportional to 225,913.46, 338,754.45 and 119,354.61

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Solution

The fourth proportional to 225,913.46, 338,754.45 and 119,354.61 is: 178,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,913.46 : 338,754.45 = 119,354.61 : x
  2. Step 2: Convert to fraction form
    225,913.46/338,754.45 = 119,354.61/x
  3. Step 3: Cross multiply
    225,913.46x = 338,754.45 × 119,354.61
  4. Step 4: Simplify right side
    225,913.46x = 40,431,906,983.42
  5. Step 5: Solve for x
    x = 40,431,906,983.42/225,913.46
  6. Step 6: Final answer
    x = 178,970.78

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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.