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Finding the Fourth Proportional to 199,662.92, 275,546 and 109,027.32

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Solution

The fourth proportional to 199,662.92, 275,546 and 109,027.32 is: 150,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,662.92 : 275,546 = 109,027.32 : x
  2. Step 2: Convert to fraction form
    199,662.92/275,546 = 109,027.32/x
  3. Step 3: Cross multiply
    199,662.92x = 275,546 × 109,027.32
  4. Step 4: Simplify right side
    199,662.92x = 30,042,041,916.72
  5. Step 5: Solve for x
    x = 30,042,041,916.72/199,662.92
  6. Step 6: Final answer
    x = 150,463.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.