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Finding the Fourth Proportional to 299,894.13, 449,912.34 and 89,537.54

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Solution

The fourth proportional to 299,894.13, 449,912.34 and 89,537.54 is: 134,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,894.13 : 449,912.34 = 89,537.54 : x
  2. Step 2: Convert to fraction form
    299,894.13/449,912.34 = 89,537.54/x
  3. Step 3: Cross multiply
    299,894.13x = 449,912.34 × 89,537.54
  4. Step 4: Simplify right side
    299,894.13x = 40,284,041,889.68
  5. Step 5: Solve for x
    x = 40,284,041,889.68/299,894.13
  6. Step 6: Final answer
    x = 134,327.54

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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.