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Finding the Fourth Proportional to 257,791.60, 386,716.20 and 80,297.20

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Solution

The fourth proportional to 257,791.60, 386,716.20 and 80,297.20 is: 120,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,791.60 : 386,716.20 = 80,297.20 : x
  2. Step 2: Convert to fraction form
    257,791.60/386,716.20 = 80,297.20/x
  3. Step 3: Cross multiply
    257,791.60x = 386,716.20 × 80,297.20
  4. Step 4: Simplify right side
    257,791.60x = 31,052,228,054.64
  5. Step 5: Solve for x
    x = 31,052,228,054.64/257,791.60
  6. Step 6: Final answer
    x = 120,454.77

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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.