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Finding the Fourth Proportional to 200,717.81, 276,965.12 and 110,049.92

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Solution

The fourth proportional to 200,717.81, 276,965.12 and 110,049.92 is: 151,854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,717.81 : 276,965.12 = 110,049.92 : x
  2. Step 2: Convert to fraction form
    200,717.81/276,965.12 = 110,049.92/x
  3. Step 3: Cross multiply
    200,717.81x = 276,965.12 × 110,049.92
  4. Step 4: Simplify right side
    200,717.81x = 30,479,987,638.84
  5. Step 5: Solve for x
    x = 30,479,987,638.84/200,717.81
  6. Step 6: Final answer
    x = 151,854.92

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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.