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Finding the Fourth Proportional to 313,951.80, 470,906.10 and 100,716.60

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Solution

The fourth proportional to 313,951.80, 470,906.10 and 100,716.60 is: 151,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,951.80 : 470,906.10 = 100,716.60 : x
  2. Step 2: Convert to fraction form
    313,951.80/470,906.10 = 100,716.60/x
  3. Step 3: Cross multiply
    313,951.80x = 470,906.10 × 100,716.60
  4. Step 4: Simplify right side
    313,951.80x = 47,428,061,311.26
  5. Step 5: Solve for x
    x = 47,428,061,311.26/313,951.80
  6. Step 6: Final answer
    x = 151,067.97

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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.