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Finding the Fourth Proportional to 204,906.44, 307,359.65 and 55,147.07

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Solution

The fourth proportional to 204,906.44, 307,359.65 and 55,147.07 is: 82,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.44 : 307,359.65 = 55,147.07 : x
  2. Step 2: Convert to fraction form
    204,906.44/307,359.65 = 55,147.07/x
  3. Step 3: Cross multiply
    204,906.44x = 307,359.65 × 55,147.07
  4. Step 4: Simplify right side
    204,906.44x = 16,949,982,734.79
  5. Step 5: Solve for x
    x = 16,949,982,734.79/204,906.44
  6. Step 6: Final answer
    x = 82,720.60

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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.