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Finding the Fourth Proportional to 120,393.36, 166,142.74 and 66,678.31

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Solution

The fourth proportional to 120,393.36, 166,142.74 and 66,678.31 is: 92,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,393.36 : 166,142.74 = 66,678.31 : x
  2. Step 2: Convert to fraction form
    120,393.36/166,142.74 = 66,678.31/x
  3. Step 3: Cross multiply
    120,393.36x = 166,142.74 × 66,678.31
  4. Step 4: Simplify right side
    120,393.36x = 11,078,117,121.97
  5. Step 5: Solve for x
    x = 11,078,117,121.97/120,393.36
  6. Step 6: Final answer
    x = 92,016.01

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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.