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Finding the Fourth Proportional to 188,404, 259,997.97 and 102,363.28

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Solution

The fourth proportional to 188,404, 259,997.97 and 102,363.28 is: 141,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,404 : 259,997.97 = 102,363.28 : x
  2. Step 2: Convert to fraction form
    188,404/259,997.97 = 102,363.28/x
  3. Step 3: Cross multiply
    188,404x = 259,997.97 × 102,363.28
  4. Step 4: Simplify right side
    188,404x = 26,614,245,002.54
  5. Step 5: Solve for x
    x = 26,614,245,002.54/188,404
  6. Step 6: Final answer
    x = 141,261.57

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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.