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Finding the Fourth Proportional to 120,414.42, 166,164.59 and 66,696.30

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Solution

The fourth proportional to 120,414.42, 166,164.59 and 66,696.30 is: 92,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,414.42 : 166,164.59 = 66,696.30 : x
  2. Step 2: Convert to fraction form
    120,414.42/166,164.59 = 66,696.30/x
  3. Step 3: Cross multiply
    120,414.42x = 166,164.59 × 66,696.30
  4. Step 4: Simplify right side
    120,414.42x = 11,082,563,344.02
  5. Step 5: Solve for x
    x = 11,082,563,344.02/120,414.42
  6. Step 6: Final answer
    x = 92,036.85

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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.