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Finding the Fourth Proportional to 202,195.62, 303,079.92 and 75,753.24

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Solution

The fourth proportional to 202,195.62, 303,079.92 and 75,753.24 is: 113,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,195.62 : 303,079.92 = 75,753.24 : x
  2. Step 2: Convert to fraction form
    202,195.62/303,079.92 = 75,753.24/x
  3. Step 3: Cross multiply
    202,195.62x = 303,079.92 × 75,753.24
  4. Step 4: Simplify right side
    202,195.62x = 22,959,285,918.94
  5. Step 5: Solve for x
    x = 22,959,285,918.94/202,195.62
  6. Step 6: Final answer
    x = 113,549.87

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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.