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Finding the Fourth Proportional to 321,120.83, 443,141.20 and 177,877.87

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Solution

The fourth proportional to 321,120.83, 443,141.20 and 177,877.87 is: 245,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,120.83 : 443,141.20 = 177,877.87 : x
  2. Step 2: Convert to fraction form
    321,120.83/443,141.20 = 177,877.87/x
  3. Step 3: Cross multiply
    321,120.83x = 443,141.20 × 177,877.87
  4. Step 4: Simplify right side
    321,120.83x = 78,825,012,765.24
  5. Step 5: Solve for x
    x = 78,825,012,765.24/321,120.83
  6. Step 6: Final answer
    x = 245,468.39

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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.