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Finding the Fourth Proportional to 199,092.24, 274,747.32 and 109,668.24

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Solution

The fourth proportional to 199,092.24, 274,747.32 and 109,668.24 is: 151,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,092.24 : 274,747.32 = 109,668.24 : x
  2. Step 2: Convert to fraction form
    199,092.24/274,747.32 = 109,668.24/x
  3. Step 3: Cross multiply
    199,092.24x = 274,747.32 × 109,668.24
  4. Step 4: Simplify right side
    199,092.24x = 30,131,055,029.12
  5. Step 5: Solve for x
    x = 30,131,055,029.12/199,092.24
  6. Step 6: Final answer
    x = 151,342.19

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1.5x scale

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.