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Finding the Fourth Proportional to 200,074.24, 276,092.13 and 109,412.56

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Solution

The fourth proportional to 200,074.24, 276,092.13 and 109,412.56 is: 150,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,074.24 : 276,092.13 = 109,412.56 : x
  2. Step 2: Convert to fraction form
    200,074.24/276,092.13 = 109,412.56/x
  3. Step 3: Cross multiply
    200,074.24x = 276,092.13 × 109,412.56
  4. Step 4: Simplify right side
    200,074.24x = 30,207,946,739.15
  5. Step 5: Solve for x
    x = 30,207,946,739.15/200,074.24
  6. Step 6: Final answer
    x = 150,983.69

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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.