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Finding the Fourth Proportional to 208,794.20, 313,190.09 and 75,643.37

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Solution

The fourth proportional to 208,794.20, 313,190.09 and 75,643.37 is: 113,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,794.20 : 313,190.09 = 75,643.37 : x
  2. Step 2: Convert to fraction form
    208,794.20/313,190.09 = 75,643.37/x
  3. Step 3: Cross multiply
    208,794.20x = 313,190.09 × 75,643.37
  4. Step 4: Simplify right side
    208,794.20x = 23,690,751,914.04
  5. Step 5: Solve for x
    x = 23,690,751,914.04/208,794.20
  6. Step 6: Final answer
    x = 113,464.61

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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.