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Finding the Fourth Proportional to 109,729.80, 164,594.70 and 82,081.80

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Solution

The fourth proportional to 109,729.80, 164,594.70 and 82,081.80 is: 123,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,729.80 : 164,594.70 = 82,081.80 : x
  2. Step 2: Convert to fraction form
    109,729.80/164,594.70 = 82,081.80/x
  3. Step 3: Cross multiply
    109,729.80x = 164,594.70 × 82,081.80
  4. Step 4: Simplify right side
    109,729.80x = 13,510,229,246.46
  5. Step 5: Solve for x
    x = 13,510,229,246.46/109,729.80
  6. Step 6: Final answer
    x = 123,122.70

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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.