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Finding the Fourth Proportional to 225,859.34, 338,773.17 and 105,942.60

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Solution

The fourth proportional to 225,859.34, 338,773.17 and 105,942.60 is: 158,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,859.34 : 338,773.17 = 105,942.60 : x
  2. Step 2: Convert to fraction form
    225,859.34/338,773.17 = 105,942.60/x
  3. Step 3: Cross multiply
    225,859.34x = 338,773.17 × 105,942.60
  4. Step 4: Simplify right side
    225,859.34x = 35,890,510,440.04
  5. Step 5: Solve for x
    x = 35,890,510,440.04/225,859.34
  6. Step 6: Final answer
    x = 158,906.47

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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.