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Finding the Fourth Proportional to 199,816.48, 275,743.52 and 109,170.48

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Solution

The fourth proportional to 199,816.48, 275,743.52 and 109,170.48 is: 150,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,816.48 : 275,743.52 = 109,170.48 : x
  2. Step 2: Convert to fraction form
    199,816.48/275,743.52 = 109,170.48/x
  3. Step 3: Cross multiply
    199,816.48x = 275,743.52 × 109,170.48
  4. Step 4: Simplify right side
    199,816.48x = 30,103,052,435.29
  5. Step 5: Solve for x
    x = 30,103,052,435.29/199,816.48
  6. Step 6: Final answer
    x = 150,653.50

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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.