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Finding the Fourth Proportional to 200,352.86, 276,474.72 and 109,709.90

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Solution

The fourth proportional to 200,352.86, 276,474.72 and 109,709.90 is: 151,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,352.86 : 276,474.72 = 109,709.90 : x
  2. Step 2: Convert to fraction form
    200,352.86/276,474.72 = 109,709.90/x
  3. Step 3: Cross multiply
    200,352.86x = 276,474.72 × 109,709.90
  4. Step 4: Simplify right side
    200,352.86x = 30,332,013,883.73
  5. Step 5: Solve for x
    x = 30,332,013,883.73/200,352.86
  6. Step 6: Final answer
    x = 151,392.97

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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.