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Finding the Fourth Proportional to 416,809.20, 625,213.80 and 136,258.80

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Solution

The fourth proportional to 416,809.20, 625,213.80 and 136,258.80 is: 204,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,809.20 : 625,213.80 = 136,258.80 : x
  2. Step 2: Convert to fraction form
    416,809.20/625,213.80 = 136,258.80/x
  3. Step 3: Cross multiply
    416,809.20x = 625,213.80 × 136,258.80
  4. Step 4: Simplify right side
    416,809.20x = 85,190,882,131.44
  5. Step 5: Solve for x
    x = 85,190,882,131.44/416,809.20
  6. Step 6: Final answer
    x = 204,388.20

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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.