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Finding the Fourth Proportional to 259,566.54, 389,347.44 and 82,073.64

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Solution

The fourth proportional to 259,566.54, 389,347.44 and 82,073.64 is: 123,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,566.54 : 389,347.44 = 82,073.64 : x
  2. Step 2: Convert to fraction form
    259,566.54/389,347.44 = 82,073.64/x
  3. Step 3: Cross multiply
    259,566.54x = 389,347.44 × 82,073.64
  4. Step 4: Simplify right side
    259,566.54x = 31,955,161,625.48
  5. Step 5: Solve for x
    x = 31,955,161,625.48/259,566.54
  6. Step 6: Final answer
    x = 123,109.71

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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.