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Finding the Fourth Proportional to 225,760.15, 338,658.65 and 113,382.56

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Solution

The fourth proportional to 225,760.15, 338,658.65 and 113,382.56 is: 170,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,760.15 : 338,658.65 = 113,382.56 : x
  2. Step 2: Convert to fraction form
    225,760.15/338,658.65 = 113,382.56/x
  3. Step 3: Cross multiply
    225,760.15x = 338,658.65 × 113,382.56
  4. Step 4: Simplify right side
    225,760.15x = 38,397,984,703.14
  5. Step 5: Solve for x
    x = 38,397,984,703.14/225,760.15
  6. Step 6: Final answer
    x = 170,083.09

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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.