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Finding the Fourth Proportional to 267,314.44, 400,923.22 and 107,383.92

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Solution

The fourth proportional to 267,314.44, 400,923.22 and 107,383.92 is: 161,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,314.44 : 400,923.22 = 107,383.92 : x
  2. Step 2: Convert to fraction form
    267,314.44/400,923.22 = 107,383.92/x
  3. Step 3: Cross multiply
    267,314.44x = 400,923.22 × 107,383.92
  4. Step 4: Simplify right side
    267,314.44x = 43,052,706,982.62
  5. Step 5: Solve for x
    x = 43,052,706,982.62/267,314.44
  6. Step 6: Final answer
    x = 161,056.42

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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.