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Finding the Fourth Proportional to 135,642.80, 203,464.20 and 113,481.20

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Solution

The fourth proportional to 135,642.80, 203,464.20 and 113,481.20 is: 170,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642.80 : 203,464.20 = 113,481.20 : x
  2. Step 2: Convert to fraction form
    135,642.80/203,464.20 = 113,481.20/x
  3. Step 3: Cross multiply
    135,642.80x = 203,464.20 × 113,481.20
  4. Step 4: Simplify right side
    135,642.80x = 23,089,361,573.04
  5. Step 5: Solve for x
    x = 23,089,361,573.04/135,642.80
  6. Step 6: Final answer
    x = 170,221.80

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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.