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Finding the Fourth Proportional to 216,067.69, 323,880 and 82,912.20

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Solution

The fourth proportional to 216,067.69, 323,880 and 82,912.20 is: 124,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,067.69 : 323,880 = 82,912.20 : x
  2. Step 2: Convert to fraction form
    216,067.69/323,880 = 82,912.20/x
  3. Step 3: Cross multiply
    216,067.69x = 323,880 × 82,912.20
  4. Step 4: Simplify right side
    216,067.69x = 26,853,603,336
  5. Step 5: Solve for x
    x = 26,853,603,336/216,067.69
  6. Step 6: Final answer
    x = 124,283.29

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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.