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Finding the Fourth Proportional to 259,933, 389,839.56 and 82,406.92

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Solution

The fourth proportional to 259,933, 389,839.56 and 82,406.92 is: 123,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,933 : 389,839.56 = 82,406.92 : x
  2. Step 2: Convert to fraction form
    259,933/389,839.56 = 82,406.92/x
  3. Step 3: Cross multiply
    259,933x = 389,839.56 × 82,406.92
  4. Step 4: Simplify right side
    259,933x = 32,125,477,433.76
  5. Step 5: Solve for x
    x = 32,125,477,433.76/259,933
  6. Step 6: Final answer
    x = 123,591.38

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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.