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Finding the Fourth Proportional to 225,596.46, 338,382.24 and 75,821.29

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Solution

The fourth proportional to 225,596.46, 338,382.24 and 75,821.29 is: 113,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,596.46 : 338,382.24 = 75,821.29 : x
  2. Step 2: Convert to fraction form
    225,596.46/338,382.24 = 75,821.29/x
  3. Step 3: Cross multiply
    225,596.46x = 338,382.24 × 75,821.29
  4. Step 4: Simplify right side
    225,596.46x = 25,656,577,949.89
  5. Step 5: Solve for x
    x = 25,656,577,949.89/225,596.46
  6. Step 6: Final answer
    x = 113,727.75

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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.