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Finding the Fourth Proportional to 199,872.36, 275,827.52 and 109,232.16

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Solution

The fourth proportional to 199,872.36, 275,827.52 and 109,232.16 is: 150,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,872.36 : 275,827.52 = 109,232.16 : x
  2. Step 2: Convert to fraction form
    199,872.36/275,827.52 = 109,232.16/x
  3. Step 3: Cross multiply
    199,872.36x = 275,827.52 × 109,232.16
  4. Step 4: Simplify right side
    199,872.36x = 30,129,235,797.04
  5. Step 5: Solve for x
    x = 30,129,235,797.04/199,872.36
  6. Step 6: Final answer
    x = 150,742.38

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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.