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Finding the Fourth Proportional to 80,933.60, 121,659.60 and 57,720.80

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Solution

The fourth proportional to 80,933.60, 121,659.60 and 57,720.80 is: 86,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,933.60 : 121,659.60 = 57,720.80 : x
  2. Step 2: Convert to fraction form
    80,933.60/121,659.60 = 57,720.80/x
  3. Step 3: Cross multiply
    80,933.60x = 121,659.60 × 57,720.80
  4. Step 4: Simplify right side
    80,933.60x = 7,022,289,439.68
  5. Step 5: Solve for x
    x = 7,022,289,439.68/80,933.60
  6. Step 6: Final answer
    x = 86,766.06

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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.