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Finding the Fourth Proportional to 204,766.48, 306,814.38 and 196,990.48

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Solution

The fourth proportional to 204,766.48, 306,814.38 and 196,990.48 is: 295,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,766.48 : 306,814.38 = 196,990.48 : x
  2. Step 2: Convert to fraction form
    204,766.48/306,814.38 = 196,990.48/x
  3. Step 3: Cross multiply
    204,766.48x = 306,814.38 × 196,990.48
  4. Step 4: Simplify right side
    204,766.48x = 60,439,511,987.10
  5. Step 5: Solve for x
    x = 60,439,511,987.10/204,766.48
  6. Step 6: Final answer
    x = 295,163.11

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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.