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Finding the Fourth Proportional to 299,099.67, 448,481.30 and 99,313.11

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Solution

The fourth proportional to 299,099.67, 448,481.30 and 99,313.11 is: 148,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,099.67 : 448,481.30 = 99,313.11 : x
  2. Step 2: Convert to fraction form
    299,099.67/448,481.30 = 99,313.11/x
  3. Step 3: Cross multiply
    299,099.67x = 448,481.30 × 99,313.11
  4. Step 4: Simplify right side
    299,099.67x = 44,540,072,183.28
  5. Step 5: Solve for x
    x = 44,540,072,183.28/299,099.67
  6. Step 6: Final answer
    x = 148,913.81

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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.