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Finding the Fourth Proportional to 202,309.20, 303,585.30 and 83,968.20

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Solution

The fourth proportional to 202,309.20, 303,585.30 and 83,968.20 is: 126,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,309.20 : 303,585.30 = 83,968.20 : x
  2. Step 2: Convert to fraction form
    202,309.20/303,585.30 = 83,968.20/x
  3. Step 3: Cross multiply
    202,309.20x = 303,585.30 × 83,968.20
  4. Step 4: Simplify right side
    202,309.20x = 25,491,511,187.46
  5. Step 5: Solve for x
    x = 25,491,511,187.46/202,309.20
  6. Step 6: Final answer
    x = 126,002.73

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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.