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Finding the Fourth Proportional to 123,169.80, 184,755.12 and 34,422.78

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Solution

The fourth proportional to 123,169.80, 184,755.12 and 34,422.78 is: 51,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,169.80 : 184,755.12 = 34,422.78 : x
  2. Step 2: Convert to fraction form
    123,169.80/184,755.12 = 34,422.78/x
  3. Step 3: Cross multiply
    123,169.80x = 184,755.12 × 34,422.78
  4. Step 4: Simplify right side
    123,169.80x = 6,359,784,849.63
  5. Step 5: Solve for x
    x = 6,359,784,849.63/123,169.80
  6. Step 6: Final answer
    x = 51,634.29

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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.