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Finding the Fourth Proportional to 200,484.65, 276,668.81 and 109,844.05

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Solution

The fourth proportional to 200,484.65, 276,668.81 and 109,844.05 is: 151,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,484.65 : 276,668.81 = 109,844.05 : x
  2. Step 2: Convert to fraction form
    200,484.65/276,668.81 = 109,844.05/x
  3. Step 3: Cross multiply
    200,484.65x = 276,668.81 × 109,844.05
  4. Step 4: Simplify right side
    200,484.65x = 30,390,422,906.73
  5. Step 5: Solve for x
    x = 30,390,422,906.73/200,484.65
  6. Step 6: Final answer
    x = 151,584.78

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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.