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Finding the Fourth Proportional to 258,799.50, 388,199.25 and 71,811

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Solution

The fourth proportional to 258,799.50, 388,199.25 and 71,811 is: 107,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,799.50 : 388,199.25 = 71,811 : x
  2. Step 2: Convert to fraction form
    258,799.50/388,199.25 = 71,811/x
  3. Step 3: Cross multiply
    258,799.50x = 388,199.25 × 71,811
  4. Step 4: Simplify right side
    258,799.50x = 27,876,976,341.75
  5. Step 5: Solve for x
    x = 27,876,976,341.75/258,799.50
  6. Step 6: Final answer
    x = 107,716.50

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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.