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Finding the Fourth Proportional to 200,866.64, 277,198.92 and 110,231.60

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Solution

The fourth proportional to 200,866.64, 277,198.92 and 110,231.60 is: 152,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.64 : 277,198.92 = 110,231.60 : x
  2. Step 2: Convert to fraction form
    200,866.64/277,198.92 = 110,231.60/x
  3. Step 3: Cross multiply
    200,866.64x = 277,198.92 × 110,231.60
  4. Step 4: Simplify right side
    200,866.64x = 30,556,080,469.87
  5. Step 5: Solve for x
    x = 30,556,080,469.87/200,866.64
  6. Step 6: Final answer
    x = 152,121.23

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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.