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Finding the Fourth Proportional to 202,528.28, 303,791.28 and 82,584.78

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Solution

The fourth proportional to 202,528.28, 303,791.28 and 82,584.78 is: 123,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,528.28 : 303,791.28 = 82,584.78 : x
  2. Step 2: Convert to fraction form
    202,528.28/303,791.28 = 82,584.78/x
  3. Step 3: Cross multiply
    202,528.28x = 303,791.28 × 82,584.78
  4. Step 4: Simplify right side
    202,528.28x = 25,088,536,024.72
  5. Step 5: Solve for x
    x = 25,088,536,024.72/202,528.28
  6. Step 6: Final answer
    x = 123,876.71

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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.