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Finding the Fourth Proportional to 262,701.41, 394,107.48 and 85,194.59

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Solution

The fourth proportional to 262,701.41, 394,107.48 and 85,194.59 is: 127,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,701.41 : 394,107.48 = 85,194.59 : x
  2. Step 2: Convert to fraction form
    262,701.41/394,107.48 = 85,194.59/x
  3. Step 3: Cross multiply
    262,701.41x = 394,107.48 × 85,194.59
  4. Step 4: Simplify right side
    262,701.41x = 33,575,823,204.00
  5. Step 5: Solve for x
    x = 33,575,823,204.00/262,701.41
  6. Step 6: Final answer
    x = 127,809.83

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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.