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Finding the Fourth Proportional to 123,082.56, 184,632.80 and 44,197.44

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Solution

The fourth proportional to 123,082.56, 184,632.80 and 44,197.44 is: 66,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,082.56 : 184,632.80 = 44,197.44 : x
  2. Step 2: Convert to fraction form
    123,082.56/184,632.80 = 44,197.44/x
  3. Step 3: Cross multiply
    123,082.56x = 184,632.80 × 44,197.44
  4. Step 4: Simplify right side
    123,082.56x = 8,160,297,100.03
  5. Step 5: Solve for x
    x = 8,160,297,100.03/123,082.56
  6. Step 6: Final answer
    x = 66,299.38

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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.