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Finding the Fourth Proportional to 259,310.25, 389,031 and 72,321.75

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Solution

The fourth proportional to 259,310.25, 389,031 and 72,321.75 is: 108,500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,310.25 : 389,031 = 72,321.75 : x
  2. Step 2: Convert to fraction form
    259,310.25/389,031 = 72,321.75/x
  3. Step 3: Cross multiply
    259,310.25x = 389,031 × 72,321.75
  4. Step 4: Simplify right side
    259,310.25x = 28,135,402,724.25
  5. Step 5: Solve for x
    x = 28,135,402,724.25/259,310.25
  6. Step 6: Final answer
    x = 108,500.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.