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Finding the Fourth Proportional to 299,634.52, 449,453.49 and 99,954.31

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Solution

The fourth proportional to 299,634.52, 449,453.49 and 99,954.31 is: 149,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,634.52 : 449,453.49 = 99,954.31 : x
  2. Step 2: Convert to fraction form
    299,634.52/449,453.49 = 99,954.31/x
  3. Step 3: Cross multiply
    299,634.52x = 449,453.49 × 99,954.31
  4. Step 4: Simplify right side
    299,634.52x = 44,924,813,470.04
  5. Step 5: Solve for x
    x = 44,924,813,470.04/299,634.52
  6. Step 6: Final answer
    x = 149,932.04

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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.