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Finding the Fourth Proportional to 206,184.38, 284,541.39 and 196,736.54

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Solution

The fourth proportional to 206,184.38, 284,541.39 and 196,736.54 is: 271,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,184.38 : 284,541.39 = 196,736.54 : x
  2. Step 2: Convert to fraction form
    206,184.38/284,541.39 = 196,736.54/x
  3. Step 3: Cross multiply
    206,184.38x = 284,541.39 × 196,736.54
  4. Step 4: Simplify right side
    206,184.38x = 55,979,688,555.39
  5. Step 5: Solve for x
    x = 55,979,688,555.39/206,184.38
  6. Step 6: Final answer
    x = 271,503.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.