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Finding the Fourth Proportional to 200,438.24, 276,601.74 and 109,793.48

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Solution

The fourth proportional to 200,438.24, 276,601.74 and 109,793.48 is: 151,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,438.24 : 276,601.74 = 109,793.48 : x
  2. Step 2: Convert to fraction form
    200,438.24/276,601.74 = 109,793.48/x
  3. Step 3: Cross multiply
    200,438.24x = 276,601.74 × 109,793.48
  4. Step 4: Simplify right side
    200,438.24x = 30,369,067,608.66
  5. Step 5: Solve for x
    x = 30,369,067,608.66/200,438.24
  6. Step 6: Final answer
    x = 151,513.34

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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.