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Finding the Fourth Proportional to 209,175.41, 313,891.91 and 82,794.15

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Solution

The fourth proportional to 209,175.41, 313,891.91 and 82,794.15 is: 124,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,175.41 : 313,891.91 = 82,794.15 : x
  2. Step 2: Convert to fraction form
    209,175.41/313,891.91 = 82,794.15/x
  3. Step 3: Cross multiply
    209,175.41x = 313,891.91 × 82,794.15
  4. Step 4: Simplify right side
    209,175.41x = 25,988,413,466.36
  5. Step 5: Solve for x
    x = 25,988,413,466.36/209,175.41
  6. Step 6: Final answer
    x = 124,242.20

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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.