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Finding the Fourth Proportional to 166,022.32, 227,953.24 and 161,692.24

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Solution

The fourth proportional to 166,022.32, 227,953.24 and 161,692.24 is: 222,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,022.32 : 227,953.24 = 161,692.24 : x
  2. Step 2: Convert to fraction form
    166,022.32/227,953.24 = 161,692.24/x
  3. Step 3: Cross multiply
    166,022.32x = 227,953.24 × 161,692.24
  4. Step 4: Simplify right side
    166,022.32x = 36,858,269,990.86
  5. Step 5: Solve for x
    x = 36,858,269,990.86/166,022.32
  6. Step 6: Final answer
    x = 222,007.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.