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Finding the Fourth Proportional to 107,806.66, 161,531.22 and 65,558.95

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Solution

The fourth proportional to 107,806.66, 161,531.22 and 65,558.95 is: 98,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,806.66 : 161,531.22 = 65,558.95 : x
  2. Step 2: Convert to fraction form
    107,806.66/161,531.22 = 65,558.95/x
  3. Step 3: Cross multiply
    107,806.66x = 161,531.22 × 65,558.95
  4. Step 4: Simplify right side
    107,806.66x = 10,589,816,039.97
  5. Step 5: Solve for x
    x = 10,589,816,039.97/107,806.66
  6. Step 6: Final answer
    x = 98,229.71

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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.