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Finding the Fourth Proportional to 193,959.72, 267,670.44 and 109,081.44

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Solution

The fourth proportional to 193,959.72, 267,670.44 and 109,081.44 is: 150,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,959.72 : 267,670.44 = 109,081.44 : x
  2. Step 2: Convert to fraction form
    193,959.72/267,670.44 = 109,081.44/x
  3. Step 3: Cross multiply
    193,959.72x = 267,670.44 × 109,081.44
  4. Step 4: Simplify right side
    193,959.72x = 29,197,877,040.63
  5. Step 5: Solve for x
    x = 29,197,877,040.63/193,959.72
  6. Step 6: Final answer
    x = 150,535.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.