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Finding the Fourth Proportional to 206,076.60, 309,114.90 and 65,839.80

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Solution

The fourth proportional to 206,076.60, 309,114.90 and 65,839.80 is: 98,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,076.60 : 309,114.90 = 65,839.80 : x
  2. Step 2: Convert to fraction form
    206,076.60/309,114.90 = 65,839.80/x
  3. Step 3: Cross multiply
    206,076.60x = 309,114.90 × 65,839.80
  4. Step 4: Simplify right side
    206,076.60x = 20,352,063,193.02
  5. Step 5: Solve for x
    x = 20,352,063,193.02/206,076.60
  6. Step 6: Final answer
    x = 98,759.70

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1.5x scale

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.