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Finding the Fourth Proportional to 120,602.19, 166,441.23 and 66,904.50

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Solution

The fourth proportional to 120,602.19, 166,441.23 and 66,904.50 is: 92,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,602.19 : 166,441.23 = 66,904.50 : x
  2. Step 2: Convert to fraction form
    120,602.19/166,441.23 = 66,904.50/x
  3. Step 3: Cross multiply
    120,602.19x = 166,441.23 × 66,904.50
  4. Step 4: Simplify right side
    120,602.19x = 11,135,667,272.54
  5. Step 5: Solve for x
    x = 11,135,667,272.54/120,602.19
  6. Step 6: Final answer
    x = 92,333.87

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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.