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Finding the Fourth Proportional to 267,532.50, 401,255 and 80,500.26

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Solution

The fourth proportional to 267,532.50, 401,255 and 80,500.26 is: 120,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,532.50 : 401,255 = 80,500.26 : x
  2. Step 2: Convert to fraction form
    267,532.50/401,255 = 80,500.26/x
  3. Step 3: Cross multiply
    267,532.50x = 401,255 × 80,500.26
  4. Step 4: Simplify right side
    267,532.50x = 32,301,131,826.30
  5. Step 5: Solve for x
    x = 32,301,131,826.30/267,532.50
  6. Step 6: Final answer
    x = 120,737.23

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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.