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Finding the Fourth Proportional to 199,082.25, 274,733.52 and 109,658.25

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Solution

The fourth proportional to 199,082.25, 274,733.52 and 109,658.25 is: 151,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,082.25 : 274,733.52 = 109,658.25 : x
  2. Step 2: Convert to fraction form
    199,082.25/274,733.52 = 109,658.25/x
  3. Step 3: Cross multiply
    199,082.25x = 274,733.52 × 109,658.25
  4. Step 4: Simplify right side
    199,082.25x = 30,126,797,019.54
  5. Step 5: Solve for x
    x = 30,126,797,019.54/199,082.25
  6. Step 6: Final answer
    x = 151,328.39

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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.