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Finding the Fourth Proportional to 199,952.10, 275,934.42 and 109,309.14

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Solution

The fourth proportional to 199,952.10, 275,934.42 and 109,309.14 is: 150,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,952.10 : 275,934.42 = 109,309.14 : x
  2. Step 2: Convert to fraction form
    199,952.10/275,934.42 = 109,309.14/x
  3. Step 3: Cross multiply
    199,952.10x = 275,934.42 × 109,309.14
  4. Step 4: Simplify right side
    199,952.10x = 30,162,154,146.60
  5. Step 5: Solve for x
    x = 30,162,154,146.60/199,952.10
  6. Step 6: Final answer
    x = 150,846.90

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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.