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Finding the Fourth Proportional to 202,197.12, 303,082.17 and 75,754.74

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Solution

The fourth proportional to 202,197.12, 303,082.17 and 75,754.74 is: 113,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,197.12 : 303,082.17 = 75,754.74 : x
  2. Step 2: Convert to fraction form
    202,197.12/303,082.17 = 75,754.74/x
  3. Step 3: Cross multiply
    202,197.12x = 303,082.17 × 75,754.74
  4. Step 4: Simplify right side
    202,197.12x = 22,959,910,986.99
  5. Step 5: Solve for x
    x = 22,959,910,986.99/202,197.12
  6. Step 6: Final answer
    x = 113,552.12

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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.