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Finding the Fourth Proportional to 299,358.39, 449,037.61 and 109,747.11

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Solution

The fourth proportional to 299,358.39, 449,037.61 and 109,747.11 is: 164,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,358.39 : 449,037.61 = 109,747.11 : x
  2. Step 2: Convert to fraction form
    299,358.39/449,037.61 = 109,747.11/x
  3. Step 3: Cross multiply
    299,358.39x = 449,037.61 × 109,747.11
  4. Step 4: Simplify right side
    299,358.39x = 49,280,581,388.33
  5. Step 5: Solve for x
    x = 49,280,581,388.33/299,358.39
  6. Step 6: Final answer
    x = 164,620.68

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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.