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Finding the Fourth Proportional to 260,163.75, 389,934.99 and 133,864.50

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Solution

The fourth proportional to 260,163.75, 389,934.99 and 133,864.50 is: 200,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,163.75 : 389,934.99 = 133,864.50 : x
  2. Step 2: Convert to fraction form
    260,163.75/389,934.99 = 133,864.50/x
  3. Step 3: Cross multiply
    260,163.75x = 389,934.99 × 133,864.50
  4. Step 4: Simplify right side
    260,163.75x = 52,198,452,468.86
  5. Step 5: Solve for x
    x = 52,198,452,468.86/260,163.75
  6. Step 6: Final answer
    x = 200,636.92

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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.