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Finding the Fourth Proportional to 259,740.90, 389,647.80 and 82,229.40

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Solution

The fourth proportional to 259,740.90, 389,647.80 and 82,229.40 is: 123,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,740.90 : 389,647.80 = 82,229.40 : x
  2. Step 2: Convert to fraction form
    259,740.90/389,647.80 = 82,229.40/x
  3. Step 3: Cross multiply
    259,740.90x = 389,647.80 × 82,229.40
  4. Step 4: Simplify right side
    259,740.90x = 32,040,504,805.32
  5. Step 5: Solve for x
    x = 32,040,504,805.32/259,740.90
  6. Step 6: Final answer
    x = 123,355.64

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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.