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Finding the Fourth Proportional to 216,067.80, 323,948.10 and 82,896.60

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Solution

The fourth proportional to 216,067.80, 323,948.10 and 82,896.60 is: 124,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,067.80 : 323,948.10 = 82,896.60 : x
  2. Step 2: Convert to fraction form
    216,067.80/323,948.10 = 82,896.60/x
  3. Step 3: Cross multiply
    216,067.80x = 323,948.10 × 82,896.60
  4. Step 4: Simplify right side
    216,067.80x = 26,854,196,066.46
  5. Step 5: Solve for x
    x = 26,854,196,066.46/216,067.80
  6. Step 6: Final answer
    x = 124,285.97

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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.