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Finding the Fourth Proportional to 267,847.08, 401,759.10 and 80,853

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Solution

The fourth proportional to 267,847.08, 401,759.10 and 80,853 is: 121,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,847.08 : 401,759.10 = 80,853 : x
  2. Step 2: Convert to fraction form
    267,847.08/401,759.10 = 80,853/x
  3. Step 3: Cross multiply
    267,847.08x = 401,759.10 × 80,853
  4. Step 4: Simplify right side
    267,847.08x = 32,483,428,512.30
  5. Step 5: Solve for x
    x = 32,483,428,512.30/267,847.08
  6. Step 6: Final answer
    x = 121,276.02

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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.