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Finding the Fourth Proportional to 299,305.26, 449,039.90 and 149,364.54

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Solution

The fourth proportional to 299,305.26, 449,039.90 and 149,364.54 is: 224,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,305.26 : 449,039.90 = 149,364.54 : x
  2. Step 2: Convert to fraction form
    299,305.26/449,039.90 = 149,364.54/x
  3. Step 3: Cross multiply
    299,305.26x = 449,039.90 × 149,364.54
  4. Step 4: Simplify right side
    299,305.26x = 67,070,638,478.56
  5. Step 5: Solve for x
    x = 67,070,638,478.56/299,305.26
  6. Step 6: Final answer
    x = 224,087.74

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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.