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Finding the Fourth Proportional to 196,682.31, 271,380.92 and 114,994.82

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Solution

The fourth proportional to 196,682.31, 271,380.92 and 114,994.82 is: 158,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,682.31 : 271,380.92 = 114,994.82 : x
  2. Step 2: Convert to fraction form
    196,682.31/271,380.92 = 114,994.82/x
  3. Step 3: Cross multiply
    196,682.31x = 271,380.92 × 114,994.82
  4. Step 4: Simplify right side
    196,682.31x = 31,207,400,150.31
  5. Step 5: Solve for x
    x = 31,207,400,150.31/196,682.31
  6. Step 6: Final answer
    x = 158,669.07

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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.