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Finding the Fourth Proportional to 321,099.88, 443,121.38 and 177,862.12

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Solution

The fourth proportional to 321,099.88, 443,121.38 and 177,862.12 is: 245,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,099.88 : 443,121.38 = 177,862.12 : x
  2. Step 2: Convert to fraction form
    321,099.88/443,121.38 = 177,862.12/x
  3. Step 3: Cross multiply
    321,099.88x = 443,121.38 × 177,862.12
  4. Step 4: Simplify right side
    321,099.88x = 78,814,508,064.13
  5. Step 5: Solve for x
    x = 78,814,508,064.13/321,099.88
  6. Step 6: Final answer
    x = 245,451.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.