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Finding the Fourth Proportional to 199,718.46, 275,600.21 and 109,056.38

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Solution

The fourth proportional to 199,718.46, 275,600.21 and 109,056.38 is: 150,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,718.46 : 275,600.21 = 109,056.38 : x
  2. Step 2: Convert to fraction form
    199,718.46/275,600.21 = 109,056.38/x
  3. Step 3: Cross multiply
    199,718.46x = 275,600.21 × 109,056.38
  4. Step 4: Simplify right side
    199,718.46x = 30,055,959,306.56
  5. Step 5: Solve for x
    x = 30,055,959,306.56/199,718.46
  6. Step 6: Final answer
    x = 150,491.64

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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.