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Finding the Fourth Proportional to 164,506.97, 227,015.43 and 91,910.42

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Solution

The fourth proportional to 164,506.97, 227,015.43 and 91,910.42 is: 126,834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,506.97 : 227,015.43 = 91,910.42 : x
  2. Step 2: Convert to fraction form
    164,506.97/227,015.43 = 91,910.42/x
  3. Step 3: Cross multiply
    164,506.97x = 227,015.43 × 91,910.42
  4. Step 4: Simplify right side
    164,506.97x = 20,865,081,923.15
  5. Step 5: Solve for x
    x = 20,865,081,923.15/164,506.97
  6. Step 6: Final answer
    x = 126,834.03

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Why These Related Problems?

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