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Finding the Fourth Proportional to 279,883.92, 419,916.64 and 167,546.64

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Solution

The fourth proportional to 279,883.92, 419,916.64 and 167,546.64 is: 251,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,883.92 : 419,916.64 = 167,546.64 : x
  2. Step 2: Convert to fraction form
    279,883.92/419,916.64 = 167,546.64/x
  3. Step 3: Cross multiply
    279,883.92x = 419,916.64 × 167,546.64
  4. Step 4: Simplify right side
    279,883.92x = 70,355,622,112.09
  5. Step 5: Solve for x
    x = 70,355,622,112.09/279,883.92
  6. Step 6: Final answer
    x = 251,374.29

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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.