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Finding the Fourth Proportional to 165,142.88, 227,991.60 and 108,718.28

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Solution

The fourth proportional to 165,142.88, 227,991.60 and 108,718.28 is: 150,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,142.88 : 227,991.60 = 108,718.28 : x
  2. Step 2: Convert to fraction form
    165,142.88/227,991.60 = 108,718.28/x
  3. Step 3: Cross multiply
    165,142.88x = 227,991.60 × 108,718.28
  4. Step 4: Simplify right side
    165,142.88x = 24,786,854,606.45
  5. Step 5: Solve for x
    x = 24,786,854,606.45/165,142.88
  6. Step 6: Final answer
    x = 150,093.39

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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.