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Finding the Fourth Proportional to 196,062.65, 294,093.89 and 55,821.27

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Solution

The fourth proportional to 196,062.65, 294,093.89 and 55,821.27 is: 83,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,062.65 : 294,093.89 = 55,821.27 : x
  2. Step 2: Convert to fraction form
    196,062.65/294,093.89 = 55,821.27/x
  3. Step 3: Cross multiply
    196,062.65x = 294,093.89 × 55,821.27
  4. Step 4: Simplify right side
    196,062.65x = 16,416,694,439.04
  5. Step 5: Solve for x
    x = 16,416,694,439.04/196,062.65
  6. Step 6: Final answer
    x = 83,731.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.