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Finding the Fourth Proportional to 225,861.30, 338,847.84 and 159,431.58

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Solution

The fourth proportional to 225,861.30, 338,847.84 and 159,431.58 is: 239,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,861.30 : 338,847.84 = 159,431.58 : x
  2. Step 2: Convert to fraction form
    225,861.30/338,847.84 = 159,431.58/x
  3. Step 3: Cross multiply
    225,861.30x = 338,847.84 × 159,431.58
  4. Step 4: Simplify right side
    225,861.30x = 54,023,046,510.79
  5. Step 5: Solve for x
    x = 54,023,046,510.79/225,861.30
  6. Step 6: Final answer
    x = 239,186.82

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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.