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Finding the Fourth Proportional to 259,713.70, 389,497.65 and 82,275.10

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Solution

The fourth proportional to 259,713.70, 389,497.65 and 82,275.10 is: 123,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,713.70 : 389,497.65 = 82,275.10 : x
  2. Step 2: Convert to fraction form
    259,713.70/389,497.65 = 82,275.10/x
  3. Step 3: Cross multiply
    259,713.70x = 389,497.65 × 82,275.10
  4. Step 4: Simplify right side
    259,713.70x = 32,045,958,103.52
  5. Step 5: Solve for x
    x = 32,045,958,103.52/259,713.70
  6. Step 6: Final answer
    x = 123,389.56

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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.