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Finding the Fourth Proportional to 254,561.40, 381,861.24 and 77,082.71

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Solution

The fourth proportional to 254,561.40, 381,861.24 and 77,082.71 is: 115,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,561.40 : 381,861.24 = 77,082.71 : x
  2. Step 2: Convert to fraction form
    254,561.40/381,861.24 = 77,082.71/x
  3. Step 3: Cross multiply
    254,561.40x = 381,861.24 × 77,082.71
  4. Step 4: Simplify right side
    254,561.40x = 29,434,897,313.85
  5. Step 5: Solve for x
    x = 29,434,897,313.85/254,561.40
  6. Step 6: Final answer
    x = 115,629.85

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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.