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Finding the Fourth Proportional to 408,096.75, 612,180.41 and 112,608.75

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Solution

The fourth proportional to 408,096.75, 612,180.41 and 112,608.75 is: 168,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,096.75 : 612,180.41 = 112,608.75 : x
  2. Step 2: Convert to fraction form
    408,096.75/612,180.41 = 112,608.75/x
  3. Step 3: Cross multiply
    408,096.75x = 612,180.41 × 112,608.75
  4. Step 4: Simplify right side
    408,096.75x = 68,936,870,181.54
  5. Step 5: Solve for x
    x = 68,936,870,181.54/408,096.75
  6. Step 6: Final answer
    x = 168,922.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.