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Finding the Fourth Proportional to 198,910.08, 274,509 and 114,028.56

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Solution

The fourth proportional to 198,910.08, 274,509 and 114,028.56 is: 157,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,910.08 : 274,509 = 114,028.56 : x
  2. Step 2: Convert to fraction form
    198,910.08/274,509 = 114,028.56/x
  3. Step 3: Cross multiply
    198,910.08x = 274,509 × 114,028.56
  4. Step 4: Simplify right side
    198,910.08x = 31,301,865,977.04
  5. Step 5: Solve for x
    x = 31,301,865,977.04/198,910.08
  6. Step 6: Final answer
    x = 157,366.92

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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.