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Finding the Fourth Proportional to 199,658.43, 299,011.37 and 110,691.27

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Solution

The fourth proportional to 199,658.43, 299,011.37 and 110,691.27 is: 165,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,658.43 : 299,011.37 = 110,691.27 : x
  2. Step 2: Convert to fraction form
    199,658.43/299,011.37 = 110,691.27/x
  3. Step 3: Cross multiply
    199,658.43x = 299,011.37 × 110,691.27
  4. Step 4: Simplify right side
    199,658.43x = 33,097,947,736.28
  5. Step 5: Solve for x
    x = 33,097,947,736.28/199,658.43
  6. Step 6: Final answer
    x = 165,772.85

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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.