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Finding the Fourth Proportional to 106,081.20, 159,118.08 and 27,196.08

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Solution

The fourth proportional to 106,081.20, 159,118.08 and 27,196.08 is: 40,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,081.20 : 159,118.08 = 27,196.08 : x
  2. Step 2: Convert to fraction form
    106,081.20/159,118.08 = 27,196.08/x
  3. Step 3: Cross multiply
    106,081.20x = 159,118.08 × 27,196.08
  4. Step 4: Simplify right side
    106,081.20x = 4,327,388,033.13
  5. Step 5: Solve for x
    x = 4,327,388,033.13/106,081.20
  6. Step 6: Final answer
    x = 40,793.17

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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.