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Finding the Fourth Proportional to 196,382.56, 271,007.84 and 106,958.56

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Solution

The fourth proportional to 196,382.56, 271,007.84 and 106,958.56 is: 147,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,382.56 : 271,007.84 = 106,958.56 : x
  2. Step 2: Convert to fraction form
    196,382.56/271,007.84 = 106,958.56/x
  3. Step 3: Cross multiply
    196,382.56x = 271,007.84 × 106,958.56
  4. Step 4: Simplify right side
    196,382.56x = 28,986,608,315.11
  5. Step 5: Solve for x
    x = 28,986,608,315.11/196,382.56
  6. Step 6: Final answer
    x = 147,602.76

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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.