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Finding the Fourth Proportional to 262,858.61, 394,325.97 and 82,882.94

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Solution

The fourth proportional to 262,858.61, 394,325.97 and 82,882.94 is: 124,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,858.61 : 394,325.97 = 82,882.94 : x
  2. Step 2: Convert to fraction form
    262,858.61/394,325.97 = 82,882.94/x
  3. Step 3: Cross multiply
    262,858.61x = 394,325.97 × 82,882.94
  4. Step 4: Simplify right side
    262,858.61x = 32,682,896,690.85
  5. Step 5: Solve for x
    x = 32,682,896,690.85/262,858.61
  6. Step 6: Final answer
    x = 124,336.42

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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.