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Finding the Fourth Proportional to 202,247.55, 303,487.24 and 82,282.37

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Solution

The fourth proportional to 202,247.55, 303,487.24 and 82,282.37 is: 123,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,247.55 : 303,487.24 = 82,282.37 : x
  2. Step 2: Convert to fraction form
    202,247.55/303,487.24 = 82,282.37/x
  3. Step 3: Cross multiply
    202,247.55x = 303,487.24 × 82,282.37
  4. Step 4: Simplify right side
    202,247.55x = 24,971,649,371.96
  5. Step 5: Solve for x
    x = 24,971,649,371.96/202,247.55
  6. Step 6: Final answer
    x = 123,470.71

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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.