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Finding the Fourth Proportional to 199,709, 275,600.63 and 109,067.64

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Solution

The fourth proportional to 199,709, 275,600.63 and 109,067.64 is: 150,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,709 : 275,600.63 = 109,067.64 : x
  2. Step 2: Convert to fraction form
    199,709/275,600.63 = 109,067.64/x
  3. Step 3: Cross multiply
    199,709x = 275,600.63 × 109,067.64
  4. Step 4: Simplify right side
    199,709x = 30,059,108,373.27
  5. Step 5: Solve for x
    x = 30,059,108,373.27/199,709
  6. Step 6: Final answer
    x = 150,514.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.