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Finding the Fourth Proportional to 200,843.58, 277,169.24 and 110,199.52

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Solution

The fourth proportional to 200,843.58, 277,169.24 and 110,199.52 is: 152,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,843.58 : 277,169.24 = 110,199.52 : x
  2. Step 2: Convert to fraction form
    200,843.58/277,169.24 = 110,199.52/x
  3. Step 3: Cross multiply
    200,843.58x = 277,169.24 × 110,199.52
  4. Step 4: Simplify right side
    200,843.58x = 30,543,916,789.34
  5. Step 5: Solve for x
    x = 30,543,916,789.34/200,843.58
  6. Step 6: Final answer
    x = 152,078.13

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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.