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Finding the Fourth Proportional to 206,469.60, 309,627.60 and 81,784.80

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Solution

The fourth proportional to 206,469.60, 309,627.60 and 81,784.80 is: 122,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.60 : 309,627.60 = 81,784.80 : x
  2. Step 2: Convert to fraction form
    206,469.60/309,627.60 = 81,784.80/x
  3. Step 3: Cross multiply
    206,469.60x = 309,627.60 × 81,784.80
  4. Step 4: Simplify right side
    206,469.60x = 25,322,831,340.48
  5. Step 5: Solve for x
    x = 25,322,831,340.48/206,469.60
  6. Step 6: Final answer
    x = 122,646.78

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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.