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Finding the Fourth Proportional to 204,437.88, 282,067.62 and 122,744.88

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Solution

The fourth proportional to 204,437.88, 282,067.62 and 122,744.88 is: 169,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,437.88 : 282,067.62 = 122,744.88 : x
  2. Step 2: Convert to fraction form
    204,437.88/282,067.62 = 122,744.88/x
  3. Step 3: Cross multiply
    204,437.88x = 282,067.62 × 122,744.88
  4. Step 4: Simplify right side
    204,437.88x = 34,622,356,168.79
  5. Step 5: Solve for x
    x = 34,622,356,168.79/204,437.88
  6. Step 6: Final answer
    x = 169,353.92

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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.