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Finding the Fourth Proportional to 259,944.40, 389,913.50 and 82,452.95

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Solution

The fourth proportional to 259,944.40, 389,913.50 and 82,452.95 is: 123,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,944.40 : 389,913.50 = 82,452.95 : x
  2. Step 2: Convert to fraction form
    259,944.40/389,913.50 = 82,452.95/x
  3. Step 3: Cross multiply
    259,944.40x = 389,913.50 × 82,452.95
  4. Step 4: Simplify right side
    259,944.40x = 32,149,518,319.83
  5. Step 5: Solve for x
    x = 32,149,518,319.83/259,944.40
  6. Step 6: Final answer
    x = 123,678.44

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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.