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Finding the Fourth Proportional to 321,098.81, 443,116.40 and 177,868.13

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Solution

The fourth proportional to 321,098.81, 443,116.40 and 177,868.13 is: 245,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,098.81 : 443,116.40 = 177,868.13 : x
  2. Step 2: Convert to fraction form
    321,098.81/443,116.40 = 177,868.13/x
  3. Step 3: Cross multiply
    321,098.81x = 443,116.40 × 177,868.13
  4. Step 4: Simplify right side
    321,098.81x = 78,816,285,658.78
  5. Step 5: Solve for x
    x = 78,816,285,658.78/321,098.81
  6. Step 6: Final answer
    x = 245,458.04

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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.