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Finding the Fourth Proportional to 416,081.20, 624,121.80 and 206,129.20

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Solution

The fourth proportional to 416,081.20, 624,121.80 and 206,129.20 is: 309,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,081.20 : 624,121.80 = 206,129.20 : x
  2. Step 2: Convert to fraction form
    416,081.20/624,121.80 = 206,129.20/x
  3. Step 3: Cross multiply
    416,081.20x = 624,121.80 × 206,129.20
  4. Step 4: Simplify right side
    416,081.20x = 128,649,727,336.56
  5. Step 5: Solve for x
    x = 128,649,727,336.56/416,081.20
  6. Step 6: Final answer
    x = 309,193.80

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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.