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Finding the Fourth Proportional to 218,082.20, 327,123.30 and 202,335.80

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Solution

The fourth proportional to 218,082.20, 327,123.30 and 202,335.80 is: 303,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,082.20 : 327,123.30 = 202,335.80 : x
  2. Step 2: Convert to fraction form
    218,082.20/327,123.30 = 202,335.80/x
  3. Step 3: Cross multiply
    218,082.20x = 327,123.30 × 202,335.80
  4. Step 4: Simplify right side
    218,082.20x = 66,188,754,604.14
  5. Step 5: Solve for x
    x = 66,188,754,604.14/218,082.20
  6. Step 6: Final answer
    x = 303,503.70

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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.