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Finding the Fourth Proportional to 120,602.57, 166,441.75 and 66,904.88

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Solution

The fourth proportional to 120,602.57, 166,441.75 and 66,904.88 is: 92,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,602.57 : 166,441.75 = 66,904.88 : x
  2. Step 2: Convert to fraction form
    120,602.57/166,441.75 = 66,904.88/x
  3. Step 3: Cross multiply
    120,602.57x = 166,441.75 × 66,904.88
  4. Step 4: Simplify right side
    120,602.57x = 11,135,764,687.61
  5. Step 5: Solve for x
    x = 11,135,764,687.61/120,602.57
  6. Step 6: Final answer
    x = 92,334.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.