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Finding the Fourth Proportional to 156,704.20, 216,250.50 and 85,082.76

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Solution

The fourth proportional to 156,704.20, 216,250.50 and 85,082.76 is: 117,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,704.20 : 216,250.50 = 85,082.76 : x
  2. Step 2: Convert to fraction form
    156,704.20/216,250.50 = 85,082.76/x
  3. Step 3: Cross multiply
    156,704.20x = 216,250.50 × 85,082.76
  4. Step 4: Simplify right side
    156,704.20x = 18,399,189,391.38
  5. Step 5: Solve for x
    x = 18,399,189,391.38/156,704.20
  6. Step 6: Final answer
    x = 117,413.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.