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Finding the Fourth Proportional to 221,716.44, 305,964 and 126,221.76

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Solution

The fourth proportional to 221,716.44, 305,964 and 126,221.76 is: 174,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,716.44 : 305,964 = 126,221.76 : x
  2. Step 2: Convert to fraction form
    221,716.44/305,964 = 126,221.76/x
  3. Step 3: Cross multiply
    221,716.44x = 305,964 × 126,221.76
  4. Step 4: Simplify right side
    221,716.44x = 38,619,314,576.64
  5. Step 5: Solve for x
    x = 38,619,314,576.64/221,716.44
  6. Step 6: Final answer
    x = 174,183.36

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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.