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Finding the Fourth Proportional to 206,025.60, 308,961.60 and 81,340.80

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Solution

The fourth proportional to 206,025.60, 308,961.60 and 81,340.80 is: 121,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,025.60 : 308,961.60 = 81,340.80 : x
  2. Step 2: Convert to fraction form
    206,025.60/308,961.60 = 81,340.80/x
  3. Step 3: Cross multiply
    206,025.60x = 308,961.60 × 81,340.80
  4. Step 4: Simplify right side
    206,025.60x = 25,131,183,713.28
  5. Step 5: Solve for x
    x = 25,131,183,713.28/206,025.60
  6. Step 6: Final answer
    x = 121,980.88

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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.