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Finding the Fourth Proportional to 408,100.16, 612,151.67 and 123,793.16

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Solution

The fourth proportional to 408,100.16, 612,151.67 and 123,793.16 is: 185,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,100.16 : 612,151.67 = 123,793.16 : x
  2. Step 2: Convert to fraction form
    408,100.16/612,151.67 = 123,793.16/x
  3. Step 3: Cross multiply
    408,100.16x = 612,151.67 × 123,793.16
  4. Step 4: Simplify right side
    408,100.16x = 75,780,189,450.23
  5. Step 5: Solve for x
    x = 75,780,189,450.23/408,100.16
  6. Step 6: Final answer
    x = 185,690.17

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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.