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Finding the Fourth Proportional to 200,992.91, 277,375.62 and 113,771.25

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Solution

The fourth proportional to 200,992.91, 277,375.62 and 113,771.25 is: 157,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,992.91 : 277,375.62 = 113,771.25 : x
  2. Step 2: Convert to fraction form
    200,992.91/277,375.62 = 113,771.25/x
  3. Step 3: Cross multiply
    200,992.91x = 277,375.62 × 113,771.25
  4. Step 4: Simplify right side
    200,992.91x = 31,557,371,433.57
  5. Step 5: Solve for x
    x = 31,557,371,433.57/200,992.91
  6. Step 6: Final answer
    x = 157,007.39

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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.