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Finding the Fourth Proportional to 299,734, 449,771.02 and 110,169.70

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Solution

The fourth proportional to 299,734, 449,771.02 and 110,169.70 is: 165,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,734 : 449,771.02 = 110,169.70 : x
  2. Step 2: Convert to fraction form
    299,734/449,771.02 = 110,169.70/x
  3. Step 3: Cross multiply
    299,734x = 449,771.02 × 110,169.70
  4. Step 4: Simplify right side
    299,734x = 49,551,138,342.09
  5. Step 5: Solve for x
    x = 49,551,138,342.09/299,734
  6. Step 6: Final answer
    x = 165,317.04

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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.