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Finding the Fourth Proportional to 209,961.96, 289,736.10 and 120,537.96

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Solution

The fourth proportional to 209,961.96, 289,736.10 and 120,537.96 is: 166,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,961.96 : 289,736.10 = 120,537.96 : x
  2. Step 2: Convert to fraction form
    209,961.96/289,736.10 = 120,537.96/x
  3. Step 3: Cross multiply
    209,961.96x = 289,736.10 × 120,537.96
  4. Step 4: Simplify right side
    209,961.96x = 34,924,198,432.36
  5. Step 5: Solve for x
    x = 34,924,198,432.36/209,961.96
  6. Step 6: Final answer
    x = 166,335.84

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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.