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Finding the Fourth Proportional to 165,190.84, 227,945.07 and 91,601.42

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Solution

The fourth proportional to 165,190.84, 227,945.07 and 91,601.42 is: 126,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,190.84 : 227,945.07 = 91,601.42 : x
  2. Step 2: Convert to fraction form
    165,190.84/227,945.07 = 91,601.42/x
  3. Step 3: Cross multiply
    165,190.84x = 227,945.07 × 91,601.42
  4. Step 4: Simplify right side
    165,190.84x = 20,880,091,040.15
  5. Step 5: Solve for x
    x = 20,880,091,040.15/165,190.84
  6. Step 6: Final answer
    x = 126,399.81

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