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Finding the Fourth Proportional to 106,116.65, 159,180.65 and 27,231.56

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Solution

The fourth proportional to 106,116.65, 159,180.65 and 27,231.56 is: 40,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116.65 : 159,180.65 = 27,231.56 : x
  2. Step 2: Convert to fraction form
    106,116.65/159,180.65 = 27,231.56/x
  3. Step 3: Cross multiply
    106,116.65x = 159,180.65 × 27,231.56
  4. Step 4: Simplify right side
    106,116.65x = 4,334,736,489.25
  5. Step 5: Solve for x
    x = 4,334,736,489.25/106,116.65
  6. Step 6: Final answer
    x = 40,848.79

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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.