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Finding the Fourth Proportional to 199,195.38, 274,882.64 and 108,549.50

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Solution

The fourth proportional to 199,195.38, 274,882.64 and 108,549.50 is: 149,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,195.38 : 274,882.64 = 108,549.50 : x
  2. Step 2: Convert to fraction form
    199,195.38/274,882.64 = 108,549.50/x
  3. Step 3: Cross multiply
    199,195.38x = 274,882.64 × 108,549.50
  4. Step 4: Simplify right side
    199,195.38x = 29,838,373,130.68
  5. Step 5: Solve for x
    x = 29,838,373,130.68/199,195.38
  6. Step 6: Final answer
    x = 149,794.50

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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.