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Finding the Fourth Proportional to 267,198.60, 401,024.70 and 109,540.20

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Solution

The fourth proportional to 267,198.60, 401,024.70 and 109,540.20 is: 164,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,198.60 : 401,024.70 = 109,540.20 : x
  2. Step 2: Convert to fraction form
    267,198.60/401,024.70 = 109,540.20/x
  3. Step 3: Cross multiply
    267,198.60x = 401,024.70 × 109,540.20
  4. Step 4: Simplify right side
    267,198.60x = 43,928,325,842.94
  5. Step 5: Solve for x
    x = 43,928,325,842.94/267,198.60
  6. Step 6: Final answer
    x = 164,403.28

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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.