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Finding the Fourth Proportional to 214,034.40, 320,821.20 and 80,863.20

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Solution

The fourth proportional to 214,034.40, 320,821.20 and 80,863.20 is: 121,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,034.40 : 320,821.20 = 80,863.20 : x
  2. Step 2: Convert to fraction form
    214,034.40/320,821.20 = 80,863.20/x
  3. Step 3: Cross multiply
    214,034.40x = 320,821.20 × 80,863.20
  4. Step 4: Simplify right side
    214,034.40x = 25,942,628,859.84
  5. Step 5: Solve for x
    x = 25,942,628,859.84/214,034.40
  6. Step 6: Final answer
    x = 121,207.75

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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.