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Finding the Fourth Proportional to 299,713.66, 449,560.12 and 75,076.03

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Solution

The fourth proportional to 299,713.66, 449,560.12 and 75,076.03 is: 112,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,713.66 : 449,560.12 = 75,076.03 : x
  2. Step 2: Convert to fraction form
    299,713.66/449,560.12 = 75,076.03/x
  3. Step 3: Cross multiply
    299,713.66x = 449,560.12 × 75,076.03
  4. Step 4: Simplify right side
    299,713.66x = 33,751,188,680.54
  5. Step 5: Solve for x
    x = 33,751,188,680.54/299,713.66
  6. Step 6: Final answer
    x = 112,611.45

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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.