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Finding the Fourth Proportional to 262,704.93, 394,112.73 and 85,198.09

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Solution

The fourth proportional to 262,704.93, 394,112.73 and 85,198.09 is: 127,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,704.93 : 394,112.73 = 85,198.09 : x
  2. Step 2: Convert to fraction form
    262,704.93/394,112.73 = 85,198.09/x
  3. Step 3: Cross multiply
    262,704.93x = 394,112.73 × 85,198.09
  4. Step 4: Simplify right side
    262,704.93x = 33,577,651,840.69
  5. Step 5: Solve for x
    x = 33,577,651,840.69/262,704.93
  6. Step 6: Final answer
    x = 127,815.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.