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Finding the Fourth Proportional to 199,000.38, 274,616.59 and 108,357.43

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Solution

The fourth proportional to 199,000.38, 274,616.59 and 108,357.43 is: 149,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,000.38 : 274,616.59 = 108,357.43 : x
  2. Step 2: Convert to fraction form
    199,000.38/274,616.59 = 108,357.43/x
  3. Step 3: Cross multiply
    199,000.38x = 274,616.59 × 108,357.43
  4. Step 4: Simplify right side
    199,000.38x = 29,756,747,927.76
  5. Step 5: Solve for x
    x = 29,756,747,927.76/199,000.38
  6. Step 6: Final answer
    x = 149,531.11

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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.