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Finding the Fourth Proportional to 202,082.78, 303,147.57 and 67,158.90

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Solution

The fourth proportional to 202,082.78, 303,147.57 and 67,158.90 is: 100,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,082.78 : 303,147.57 = 67,158.90 : x
  2. Step 2: Convert to fraction form
    202,082.78/303,147.57 = 67,158.90/x
  3. Step 3: Cross multiply
    202,082.78x = 303,147.57 × 67,158.90
  4. Step 4: Simplify right side
    202,082.78x = 20,359,057,338.87
  5. Step 5: Solve for x
    x = 20,359,057,338.87/202,082.78
  6. Step 6: Final answer
    x = 100,746.13

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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.