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Finding the Fourth Proportional to 200,113.57, 276,156.64 and 109,469.51

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Solution

The fourth proportional to 200,113.57, 276,156.64 and 109,469.51 is: 151,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,113.57 : 276,156.64 = 109,469.51 : x
  2. Step 2: Convert to fraction form
    200,113.57/276,156.64 = 109,469.51/x
  3. Step 3: Cross multiply
    200,113.57x = 276,156.64 × 109,469.51
  4. Step 4: Simplify right side
    200,113.57x = 30,230,732,064.05
  5. Step 5: Solve for x
    x = 30,230,732,064.05/200,113.57
  6. Step 6: Final answer
    x = 151,067.88

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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.