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Finding the Fourth Proportional to 264,270.60, 396,194.49 and 137,847.42

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Solution

The fourth proportional to 264,270.60, 396,194.49 and 137,847.42 is: 206,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,270.60 : 396,194.49 = 137,847.42 : x
  2. Step 2: Convert to fraction form
    264,270.60/396,194.49 = 137,847.42/x
  3. Step 3: Cross multiply
    264,270.60x = 396,194.49 × 137,847.42
  4. Step 4: Simplify right side
    264,270.60x = 54,614,388,264.72
  5. Step 5: Solve for x
    x = 54,614,388,264.72/264,270.60
  6. Step 6: Final answer
    x = 206,660.86

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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.