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Finding the Fourth Proportional to 120,197.63, 165,861.57 and 66,481.49

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Solution

The fourth proportional to 120,197.63, 165,861.57 and 66,481.49 is: 91,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,197.63 : 165,861.57 = 66,481.49 : x
  2. Step 2: Convert to fraction form
    120,197.63/165,861.57 = 66,481.49/x
  3. Step 3: Cross multiply
    120,197.63x = 165,861.57 × 66,481.49
  4. Step 4: Simplify right side
    120,197.63x = 11,026,723,727.34
  5. Step 5: Solve for x
    x = 11,026,723,727.34/120,197.63
  6. Step 6: Final answer
    x = 91,738.28

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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.