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Finding the Fourth Proportional to 225,861.52, 338,340.54 and 135,854.52

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Solution

The fourth proportional to 225,861.52, 338,340.54 and 135,854.52 is: 203,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,861.52 : 338,340.54 = 135,854.52 : x
  2. Step 2: Convert to fraction form
    225,861.52/338,340.54 = 135,854.52/x
  3. Step 3: Cross multiply
    225,861.52x = 338,340.54 × 135,854.52
  4. Step 4: Simplify right side
    225,861.52x = 45,965,091,658.24
  5. Step 5: Solve for x
    x = 45,965,091,658.24/225,861.52
  6. Step 6: Final answer
    x = 203,510.06

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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.