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Finding the Fourth Proportional to 208,791.48, 313,351.38 and 96,523.32

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Solution

The fourth proportional to 208,791.48, 313,351.38 and 96,523.32 is: 144,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,791.48 : 313,351.38 = 96,523.32 : x
  2. Step 2: Convert to fraction form
    208,791.48/313,351.38 = 96,523.32/x
  3. Step 3: Cross multiply
    208,791.48x = 313,351.38 × 96,523.32
  4. Step 4: Simplify right side
    208,791.48x = 30,245,715,524.18
  5. Step 5: Solve for x
    x = 30,245,715,524.18/208,791.48
  6. Step 6: Final answer
    x = 144,860.87

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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.