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Finding the Fourth Proportional to 267,198.06, 400,795.29 and 109,426.26

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Solution

The fourth proportional to 267,198.06, 400,795.29 and 109,426.26 is: 164,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,198.06 : 400,795.29 = 109,426.26 : x
  2. Step 2: Convert to fraction form
    267,198.06/400,795.29 = 109,426.26/x
  3. Step 3: Cross multiply
    267,198.06x = 400,795.29 × 109,426.26
  4. Step 4: Simplify right side
    267,198.06x = 43,857,529,610.32
  5. Step 5: Solve for x
    x = 43,857,529,610.32/267,198.06
  6. Step 6: Final answer
    x = 164,138.65

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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.