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Finding the Fourth Proportional to 299,481.34, 449,072.16 and 99,732.10

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Solution

The fourth proportional to 299,481.34, 449,072.16 and 99,732.10 is: 149,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,481.34 : 449,072.16 = 99,732.10 : x
  2. Step 2: Convert to fraction form
    299,481.34/449,072.16 = 99,732.10/x
  3. Step 3: Cross multiply
    299,481.34x = 449,072.16 × 99,732.10
  4. Step 4: Simplify right side
    299,481.34x = 44,786,909,568.34
  5. Step 5: Solve for x
    x = 44,786,909,568.34/299,481.34
  6. Step 6: Final answer
    x = 149,548.25

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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.