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Finding the Fourth Proportional to 206,850.60, 309,984.30 and 127,729.80

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Solution

The fourth proportional to 206,850.60, 309,984.30 and 127,729.80 is: 191,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,850.60 : 309,984.30 = 127,729.80 : x
  2. Step 2: Convert to fraction form
    206,850.60/309,984.30 = 127,729.80/x
  3. Step 3: Cross multiply
    206,850.60x = 309,984.30 × 127,729.80
  4. Step 4: Simplify right side
    206,850.60x = 39,594,232,642.14
  5. Step 5: Solve for x
    x = 39,594,232,642.14/206,850.60
  6. Step 6: Final answer
    x = 191,414.64

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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.