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Finding the Fourth Proportional to 206,652.80, 309,979.20 and 205,340.60

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Solution

The fourth proportional to 206,652.80, 309,979.20 and 205,340.60 is: 308,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,652.80 : 309,979.20 = 205,340.60 : x
  2. Step 2: Convert to fraction form
    206,652.80/309,979.20 = 205,340.60/x
  3. Step 3: Cross multiply
    206,652.80x = 309,979.20 × 205,340.60
  4. Step 4: Simplify right side
    206,652.80x = 63,651,314,915.52
  5. Step 5: Solve for x
    x = 63,651,314,915.52/206,652.80
  6. Step 6: Final answer
    x = 308,010.90

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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.