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Finding the Fourth Proportional to 202,357.80, 303,882.30 and 132,546.60

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Solution

The fourth proportional to 202,357.80, 303,882.30 and 132,546.60 is: 199,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.80 : 303,882.30 = 132,546.60 : x
  2. Step 2: Convert to fraction form
    202,357.80/303,882.30 = 132,546.60/x
  3. Step 3: Cross multiply
    202,357.80x = 303,882.30 × 132,546.60
  4. Step 4: Simplify right side
    202,357.80x = 40,278,565,665.18
  5. Step 5: Solve for x
    x = 40,278,565,665.18/202,357.80
  6. Step 6: Final answer
    x = 199,046.27

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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.