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Finding the Fourth Proportional to 193,901.76, 267,608.34 and 109,017

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Solution

The fourth proportional to 193,901.76, 267,608.34 and 109,017 is: 150,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,901.76 : 267,608.34 = 109,017 : x
  2. Step 2: Convert to fraction form
    193,901.76/267,608.34 = 109,017/x
  3. Step 3: Cross multiply
    193,901.76x = 267,608.34 × 109,017
  4. Step 4: Simplify right side
    193,901.76x = 29,173,858,401.78
  5. Step 5: Solve for x
    x = 29,173,858,401.78/193,901.76
  6. Step 6: Final answer
    x = 150,456.90

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