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Finding the Fourth Proportional to 203,891.67, 305,759.57 and 67,082.94

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Solution

The fourth proportional to 203,891.67, 305,759.57 and 67,082.94 is: 100,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,891.67 : 305,759.57 = 67,082.94 : x
  2. Step 2: Convert to fraction form
    203,891.67/305,759.57 = 67,082.94/x
  3. Step 3: Cross multiply
    203,891.67x = 305,759.57 × 67,082.94
  4. Step 4: Simplify right side
    203,891.67x = 20,511,250,553.32
  5. Step 5: Solve for x
    x = 20,511,250,553.32/203,891.67
  6. Step 6: Final answer
    x = 100,598.77

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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.