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Finding the Fourth Proportional to 225,956.96, 338,522.34 and 105,793.46

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Solution

The fourth proportional to 225,956.96, 338,522.34 and 105,793.46 is: 158,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,956.96 : 338,522.34 = 105,793.46 : x
  2. Step 2: Convert to fraction form
    225,956.96/338,522.34 = 105,793.46/x
  3. Step 3: Cross multiply
    225,956.96x = 338,522.34 × 105,793.46
  4. Step 4: Simplify right side
    225,956.96x = 35,813,449,635.90
  5. Step 5: Solve for x
    x = 35,813,449,635.90/225,956.96
  6. Step 6: Final answer
    x = 158,496.78

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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.