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Finding the Fourth Proportional to 131,090.44, 196,616.22 and 47,965

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Solution

The fourth proportional to 131,090.44, 196,616.22 and 47,965 is: 71,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,090.44 : 196,616.22 = 47,965 : x
  2. Step 2: Convert to fraction form
    131,090.44/196,616.22 = 47,965/x
  3. Step 3: Cross multiply
    131,090.44x = 196,616.22 × 47,965
  4. Step 4: Simplify right side
    131,090.44x = 9,430,696,992.30
  5. Step 5: Solve for x
    x = 9,430,696,992.30/131,090.44
  6. Step 6: Final answer
    x = 71,940.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.