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Finding the Fourth Proportional to 321,203.58, 443,255.18 and 177,960.75

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Solution

The fourth proportional to 321,203.58, 443,255.18 and 177,960.75 is: 245,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,203.58 : 443,255.18 = 177,960.75 : x
  2. Step 2: Convert to fraction form
    321,203.58/443,255.18 = 177,960.75/x
  3. Step 3: Cross multiply
    321,203.58x = 443,255.18 × 177,960.75
  4. Step 4: Simplify right side
    321,203.58x = 78,882,023,384.38
  5. Step 5: Solve for x
    x = 78,882,023,384.38/321,203.58
  6. Step 6: Final answer
    x = 245,582.64

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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.