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Finding the Fourth Proportional to 214,049.40, 320,843.70 and 80,878.20

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Solution

The fourth proportional to 214,049.40, 320,843.70 and 80,878.20 is: 121,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,049.40 : 320,843.70 = 80,878.20 : x
  2. Step 2: Convert to fraction form
    214,049.40/320,843.70 = 80,878.20/x
  3. Step 3: Cross multiply
    214,049.40x = 320,843.70 × 80,878.20
  4. Step 4: Simplify right side
    214,049.40x = 25,949,260,937.34
  5. Step 5: Solve for x
    x = 25,949,260,937.34/214,049.40
  6. Step 6: Final answer
    x = 121,230.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.