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Finding the Fourth Proportional to 259,707, 389,629.62 and 82,217.64

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Solution

The fourth proportional to 259,707, 389,629.62 and 82,217.64 is: 123,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,707 : 389,629.62 = 82,217.64 : x
  2. Step 2: Convert to fraction form
    259,707/389,629.62 = 82,217.64/x
  3. Step 3: Cross multiply
    259,707x = 389,629.62 × 82,217.64
  4. Step 4: Simplify right side
    259,707x = 32,034,427,830.50
  5. Step 5: Solve for x
    x = 32,034,427,830.50/259,707
  6. Step 6: Final answer
    x = 123,348.34

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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.