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Finding the Fourth Proportional to 120,602.33, 166,441.17 and 66,904.65

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Solution

The fourth proportional to 120,602.33, 166,441.17 and 66,904.65 is: 92,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,602.33 : 166,441.17 = 66,904.65 : x
  2. Step 2: Convert to fraction form
    120,602.33/166,441.17 = 66,904.65/x
  3. Step 3: Cross multiply
    120,602.33x = 166,441.17 × 66,904.65
  4. Step 4: Simplify right side
    120,602.33x = 11,135,688,224.44
  5. Step 5: Solve for x
    x = 11,135,688,224.44/120,602.33
  6. Step 6: Final answer
    x = 92,333.94

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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.