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Finding the Fourth Proportional to 120,538.64, 166,331.60 and 66,822.56

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Solution

The fourth proportional to 120,538.64, 166,331.60 and 66,822.56 is: 92,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,538.64 : 166,331.60 = 66,822.56 : x
  2. Step 2: Convert to fraction form
    120,538.64/166,331.60 = 66,822.56/x
  3. Step 3: Cross multiply
    120,538.64x = 166,331.60 × 66,822.56
  4. Step 4: Simplify right side
    120,538.64x = 11,114,703,320.90
  5. Step 5: Solve for x
    x = 11,114,703,320.90/120,538.64
  6. Step 6: Final answer
    x = 92,208.63

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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.