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Finding the Fourth Proportional to 299,356.31, 449,034.44 and 109,745.01

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Solution

The fourth proportional to 299,356.31, 449,034.44 and 109,745.01 is: 164,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,356.31 : 449,034.44 = 109,745.01 : x
  2. Step 2: Convert to fraction form
    299,356.31/449,034.44 = 109,745.01/x
  3. Step 3: Cross multiply
    299,356.31x = 449,034.44 × 109,745.01
  4. Step 4: Simplify right side
    299,356.31x = 49,279,288,559.42
  5. Step 5: Solve for x
    x = 49,279,288,559.42/299,356.31
  6. Step 6: Final answer
    x = 164,617.51

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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.