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Finding the Fourth Proportional to 196,414.75, 271,039.60 and 115,823.80

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Solution

The fourth proportional to 196,414.75, 271,039.60 and 115,823.80 is: 159,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,414.75 : 271,039.60 = 115,823.80 : x
  2. Step 2: Convert to fraction form
    196,414.75/271,039.60 = 115,823.80/x
  3. Step 3: Cross multiply
    196,414.75x = 271,039.60 × 115,823.80
  4. Step 4: Simplify right side
    196,414.75x = 31,392,836,422.48
  5. Step 5: Solve for x
    x = 31,392,836,422.48/196,414.75
  6. Step 6: Final answer
    x = 159,829.32

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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.