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Finding the Fourth Proportional to 184,471.74, 276,082.12 and 113,439

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Solution

The fourth proportional to 184,471.74, 276,082.12 and 113,439 is: 169,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,471.74 : 276,082.12 = 113,439 : x
  2. Step 2: Convert to fraction form
    184,471.74/276,082.12 = 113,439/x
  3. Step 3: Cross multiply
    184,471.74x = 276,082.12 × 113,439
  4. Step 4: Simplify right side
    184,471.74x = 31,318,479,610.68
  5. Step 5: Solve for x
    x = 31,318,479,610.68/184,471.74
  6. Step 6: Final answer
    x = 169,773.86

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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.