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Finding the Fourth Proportional to 196,640.94, 271,385.31 and 120,204.78

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Solution

The fourth proportional to 196,640.94, 271,385.31 and 120,204.78 is: 165,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,640.94 : 271,385.31 = 120,204.78 : x
  2. Step 2: Convert to fraction form
    196,640.94/271,385.31 = 120,204.78/x
  3. Step 3: Cross multiply
    196,640.94x = 271,385.31 × 120,204.78
  4. Step 4: Simplify right side
    196,640.94x = 32,621,811,483.78
  5. Step 5: Solve for x
    x = 32,621,811,483.78/196,640.94
  6. Step 6: Final answer
    x = 165,895.32

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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.