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Finding the Fourth Proportional to 165,067.88, 227,796.18 and 89,616.38

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Solution

The fourth proportional to 165,067.88, 227,796.18 and 89,616.38 is: 123,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,067.88 : 227,796.18 = 89,616.38 : x
  2. Step 2: Convert to fraction form
    165,067.88/227,796.18 = 89,616.38/x
  3. Step 3: Cross multiply
    165,067.88x = 227,796.18 × 89,616.38
  4. Step 4: Simplify right side
    165,067.88x = 20,414,269,029.43
  5. Step 5: Solve for x
    x = 20,414,269,029.43/165,067.88
  6. Step 6: Final answer
    x = 123,671.96

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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.