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Finding the Fourth Proportional to 267,408.54, 401,060.97 and 101,209.50

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Solution

The fourth proportional to 267,408.54, 401,060.97 and 101,209.50 is: 151,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,408.54 : 401,060.97 = 101,209.50 : x
  2. Step 2: Convert to fraction form
    267,408.54/401,060.97 = 101,209.50/x
  3. Step 3: Cross multiply
    267,408.54x = 401,060.97 × 101,209.50
  4. Step 4: Simplify right side
    267,408.54x = 40,591,180,243.22
  5. Step 5: Solve for x
    x = 40,591,180,243.22/267,408.54
  6. Step 6: Final answer
    x = 151,794.63

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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.