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Finding the Fourth Proportional to 198,716.22, 274,235.40 and 113,849.67

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Solution

The fourth proportional to 198,716.22, 274,235.40 and 113,849.67 is: 157,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,716.22 : 274,235.40 = 113,849.67 : x
  2. Step 2: Convert to fraction form
    198,716.22/274,235.40 = 113,849.67/x
  3. Step 3: Cross multiply
    198,716.22x = 274,235.40 × 113,849.67
  4. Step 4: Simplify right side
    198,716.22x = 31,221,609,792.32
  5. Step 5: Solve for x
    x = 31,221,609,792.32/198,716.22
  6. Step 6: Final answer
    x = 157,116.56

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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.