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Finding the Fourth Proportional to 144,976, 200,067.42 and 84,588.34

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Solution

The fourth proportional to 144,976, 200,067.42 and 84,588.34 is: 116,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,976 : 200,067.42 = 84,588.34 : x
  2. Step 2: Convert to fraction form
    144,976/200,067.42 = 84,588.34/x
  3. Step 3: Cross multiply
    144,976x = 200,067.42 × 84,588.34
  4. Step 4: Simplify right side
    144,976x = 16,923,370,945.88
  5. Step 5: Solve for x
    x = 16,923,370,945.88/144,976
  6. Step 6: Final answer
    x = 116,732.22

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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.