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Finding the Fourth Proportional to 208,625.84, 313,067.24 and 82,244.57

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Solution

The fourth proportional to 208,625.84, 313,067.24 and 82,244.57 is: 123,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,625.84 : 313,067.24 = 82,244.57 : x
  2. Step 2: Convert to fraction form
    208,625.84/313,067.24 = 82,244.57/x
  3. Step 3: Cross multiply
    208,625.84x = 313,067.24 × 82,244.57
  4. Step 4: Simplify right side
    208,625.84x = 25,748,080,906.33
  5. Step 5: Solve for x
    x = 25,748,080,906.33/208,625.84
  6. Step 6: Final answer
    x = 123,417.51

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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.