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Finding the Fourth Proportional to 267,532.74, 401,255.37 and 80,500.50

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Solution

The fourth proportional to 267,532.74, 401,255.37 and 80,500.50 is: 120,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,532.74 : 401,255.37 = 80,500.50 : x
  2. Step 2: Convert to fraction form
    267,532.74/401,255.37 = 80,500.50/x
  3. Step 3: Cross multiply
    267,532.74x = 401,255.37 × 80,500.50
  4. Step 4: Simplify right side
    267,532.74x = 32,301,257,912.69
  5. Step 5: Solve for x
    x = 32,301,257,912.69/267,532.74
  6. Step 6: Final answer
    x = 120,737.59

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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.