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Finding the Fourth Proportional to 267,732.80, 401,656.80 and 80,763.20

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Solution

The fourth proportional to 267,732.80, 401,656.80 and 80,763.20 is: 121,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,732.80 : 401,656.80 = 80,763.20 : x
  2. Step 2: Convert to fraction form
    267,732.80/401,656.80 = 80,763.20/x
  3. Step 3: Cross multiply
    267,732.80x = 401,656.80 × 80,763.20
  4. Step 4: Simplify right side
    267,732.80x = 32,439,088,469.76
  5. Step 5: Solve for x
    x = 32,439,088,469.76/267,732.80
  6. Step 6: Final answer
    x = 121,162.18

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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.