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Finding the Fourth Proportional to 166,646, 229,976.34 and 91,199.36

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Solution

The fourth proportional to 166,646, 229,976.34 and 91,199.36 is: 125,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,646 : 229,976.34 = 91,199.36 : x
  2. Step 2: Convert to fraction form
    166,646/229,976.34 = 91,199.36/x
  3. Step 3: Cross multiply
    166,646x = 229,976.34 × 91,199.36
  4. Step 4: Simplify right side
    166,646x = 20,973,695,023.14
  5. Step 5: Solve for x
    x = 20,973,695,023.14/166,646
  6. Step 6: Final answer
    x = 125,857.78

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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.