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Finding the Fourth Proportional to 267,466.80, 401,257.80 and 80,497.20

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Solution

The fourth proportional to 267,466.80, 401,257.80 and 80,497.20 is: 120,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,466.80 : 401,257.80 = 80,497.20 : x
  2. Step 2: Convert to fraction form
    267,466.80/401,257.80 = 80,497.20/x
  3. Step 3: Cross multiply
    267,466.80x = 401,257.80 × 80,497.20
  4. Step 4: Simplify right side
    267,466.80x = 32,300,129,378.16
  5. Step 5: Solve for x
    x = 32,300,129,378.16/267,466.80
  6. Step 6: Final answer
    x = 120,763.14

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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.