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Finding the Fourth Proportional to 299,323.24, 449,213.30 and 109,963.06

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Solution

The fourth proportional to 299,323.24, 449,213.30 and 109,963.06 is: 165,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,323.24 : 449,213.30 = 109,963.06 : x
  2. Step 2: Convert to fraction form
    299,323.24/449,213.30 = 109,963.06/x
  3. Step 3: Cross multiply
    299,323.24x = 449,213.30 × 109,963.06
  4. Step 4: Simplify right side
    299,323.24x = 49,396,869,060.70
  5. Step 5: Solve for x
    x = 49,396,869,060.70/299,323.24
  6. Step 6: Final answer
    x = 165,028.51

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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.