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Finding the Fourth Proportional to 123,494.94, 170,481.83 and 82,729.26

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Solution

The fourth proportional to 123,494.94, 170,481.83 and 82,729.26 is: 114,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,494.94 : 170,481.83 = 82,729.26 : x
  2. Step 2: Convert to fraction form
    123,494.94/170,481.83 = 82,729.26/x
  3. Step 3: Cross multiply
    123,494.94x = 170,481.83 × 82,729.26
  4. Step 4: Simplify right side
    123,494.94x = 14,103,835,225.70
  5. Step 5: Solve for x
    x = 14,103,835,225.70/123,494.94
  6. Step 6: Final answer
    x = 114,205.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.