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Finding the Fourth Proportional to 164,393.96, 226,863.99 and 91,796.49

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Solution

The fourth proportional to 164,393.96, 226,863.99 and 91,796.49 is: 126,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,393.96 : 226,863.99 = 91,796.49 : x
  2. Step 2: Convert to fraction form
    164,393.96/226,863.99 = 91,796.49/x
  3. Step 3: Cross multiply
    164,393.96x = 226,863.99 × 91,796.49
  4. Step 4: Simplify right side
    164,393.96x = 20,825,317,989.40
  5. Step 5: Solve for x
    x = 20,825,317,989.40/164,393.96
  6. Step 6: Final answer
    x = 126,679.34

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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.