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Finding the Fourth Proportional to 149,791.16, 206,616.88 and 113,902.49

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Solution

The fourth proportional to 149,791.16, 206,616.88 and 113,902.49 is: 157,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,791.16 : 206,616.88 = 113,902.49 : x
  2. Step 2: Convert to fraction form
    149,791.16/206,616.88 = 113,902.49/x
  3. Step 3: Cross multiply
    149,791.16x = 206,616.88 × 113,902.49
  4. Step 4: Simplify right side
    149,791.16x = 23,534,177,108.03
  5. Step 5: Solve for x
    x = 23,534,177,108.03/149,791.16
  6. Step 6: Final answer
    x = 157,113.26

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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.