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Finding the Fourth Proportional to 259,717.90, 389,613.30 and 82,206.40

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Solution

The fourth proportional to 259,717.90, 389,613.30 and 82,206.40 is: 123,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,717.90 : 389,613.30 = 82,206.40 : x
  2. Step 2: Convert to fraction form
    259,717.90/389,613.30 = 82,206.40/x
  3. Step 3: Cross multiply
    259,717.90x = 389,613.30 × 82,206.40
  4. Step 4: Simplify right side
    259,717.90x = 32,028,706,785.12
  5. Step 5: Solve for x
    x = 32,028,706,785.12/259,717.90
  6. Step 6: Final answer
    x = 123,321.14

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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.