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Finding the Fourth Proportional to 202,535.28, 303,801.76 and 82,591.76

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Solution

The fourth proportional to 202,535.28, 303,801.76 and 82,591.76 is: 123,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,535.28 : 303,801.76 = 82,591.76 : x
  2. Step 2: Convert to fraction form
    202,535.28/303,801.76 = 82,591.76/x
  3. Step 3: Cross multiply
    202,535.28x = 303,801.76 × 82,591.76
  4. Step 4: Simplify right side
    202,535.28x = 25,091,522,049.50
  5. Step 5: Solve for x
    x = 25,091,522,049.50/202,535.28
  6. Step 6: Final answer
    x = 123,887.17

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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.