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Finding the Fourth Proportional to 321,198.20, 443,247.78 and 177,955.38

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Solution

The fourth proportional to 321,198.20, 443,247.78 and 177,955.38 is: 245,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,198.20 : 443,247.78 = 177,955.38 : x
  2. Step 2: Convert to fraction form
    321,198.20/443,247.78 = 177,955.38/x
  3. Step 3: Cross multiply
    321,198.20x = 443,247.78 × 177,955.38
  4. Step 4: Simplify right side
    321,198.20x = 78,878,327,124.06
  5. Step 5: Solve for x
    x = 78,878,327,124.06/321,198.20
  6. Step 6: Final answer
    x = 245,575.25

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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.