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Finding the Fourth Proportional to 204,498.20, 306,924.52 and 204,025.36

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Solution

The fourth proportional to 204,498.20, 306,924.52 and 204,025.36 is: 306,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,498.20 : 306,924.52 = 204,025.36 : x
  2. Step 2: Convert to fraction form
    204,498.20/306,924.52 = 204,025.36/x
  3. Step 3: Cross multiply
    204,498.20x = 306,924.52 × 204,025.36
  4. Step 4: Simplify right side
    204,498.20x = 62,620,385,685.83
  5. Step 5: Solve for x
    x = 62,620,385,685.83/204,498.20
  6. Step 6: Final answer
    x = 306,214.85

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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.