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Finding the Fourth Proportional to 202,122.72, 303,186.24 and 61,882.56

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Solution

The fourth proportional to 202,122.72, 303,186.24 and 61,882.56 is: 92,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,122.72 : 303,186.24 = 61,882.56 : x
  2. Step 2: Convert to fraction form
    202,122.72/303,186.24 = 61,882.56/x
  3. Step 3: Cross multiply
    202,122.72x = 303,186.24 × 61,882.56
  4. Step 4: Simplify right side
    202,122.72x = 18,761,940,687.97
  5. Step 5: Solve for x
    x = 18,761,940,687.97/202,122.72
  6. Step 6: Final answer
    x = 92,824.50

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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.