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Finding the Fourth Proportional to 204,438.40, 306,657.60 and 92,245.30

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Solution

The fourth proportional to 204,438.40, 306,657.60 and 92,245.30 is: 138,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,438.40 : 306,657.60 = 92,245.30 : x
  2. Step 2: Convert to fraction form
    204,438.40/306,657.60 = 92,245.30/x
  3. Step 3: Cross multiply
    204,438.40x = 306,657.60 × 92,245.30
  4. Step 4: Simplify right side
    204,438.40x = 28,287,722,309.28
  5. Step 5: Solve for x
    x = 28,287,722,309.28/204,438.40
  6. Step 6: Final answer
    x = 138,367.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.