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Finding the Fourth Proportional to 204,188.96, 306,422.88 and 71,067.92

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Solution

The fourth proportional to 204,188.96, 306,422.88 and 71,067.92 is: 106,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,188.96 : 306,422.88 = 71,067.92 : x
  2. Step 2: Convert to fraction form
    204,188.96/306,422.88 = 71,067.92/x
  3. Step 3: Cross multiply
    204,188.96x = 306,422.88 × 71,067.92
  4. Step 4: Simplify right side
    204,188.96x = 21,776,836,722.01
  5. Step 5: Solve for x
    x = 21,776,836,722.01/204,188.96
  6. Step 6: Final answer
    x = 106,650.41

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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.