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Finding the Fourth Proportional to 259,551.56, 389,324.97 and 82,058.63

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Solution

The fourth proportional to 259,551.56, 389,324.97 and 82,058.63 is: 123,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,551.56 : 389,324.97 = 82,058.63 : x
  2. Step 2: Convert to fraction form
    259,551.56/389,324.97 = 82,058.63/x
  3. Step 3: Cross multiply
    259,551.56x = 389,324.97 × 82,058.63
  4. Step 4: Simplify right side
    259,551.56x = 31,947,471,716.37
  5. Step 5: Solve for x
    x = 31,947,471,716.37/259,551.56
  6. Step 6: Final answer
    x = 123,087.19

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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.