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Finding the Fourth Proportional to 116,538.96, 160,850.34 and 82,512.12

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Solution

The fourth proportional to 116,538.96, 160,850.34 and 82,512.12 is: 113,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,538.96 : 160,850.34 = 82,512.12 : x
  2. Step 2: Convert to fraction form
    116,538.96/160,850.34 = 82,512.12/x
  3. Step 3: Cross multiply
    116,538.96x = 160,850.34 × 82,512.12
  4. Step 4: Simplify right side
    116,538.96x = 13,272,102,556.12
  5. Step 5: Solve for x
    x = 13,272,102,556.12/116,538.96
  6. Step 6: Final answer
    x = 113,885.54

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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.