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Finding the Fourth Proportional to 259,551.49, 389,324.77 and 82,058.48

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Solution

The fourth proportional to 259,551.49, 389,324.77 and 82,058.48 is: 123,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,551.49 : 389,324.77 = 82,058.48 : x
  2. Step 2: Convert to fraction form
    259,551.49/389,324.77 = 82,058.48/x
  3. Step 3: Cross multiply
    259,551.49x = 389,324.77 × 82,058.48
  4. Step 4: Simplify right side
    259,551.49x = 31,947,398,852.55
  5. Step 5: Solve for x
    x = 31,947,398,852.55/259,551.49
  6. Step 6: Final answer
    x = 123,086.94

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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.