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Finding the Fourth Proportional to 165,101.44, 227,838 and 89,650.48

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Solution

The fourth proportional to 165,101.44, 227,838 and 89,650.48 is: 123,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,101.44 : 227,838 = 89,650.48 : x
  2. Step 2: Convert to fraction form
    165,101.44/227,838 = 89,650.48/x
  3. Step 3: Cross multiply
    165,101.44x = 227,838 × 89,650.48
  4. Step 4: Simplify right side
    165,101.44x = 20,425,786,062.24
  5. Step 5: Solve for x
    x = 20,425,786,062.24/165,101.44
  6. Step 6: Final answer
    x = 123,716.58

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1.5x scale

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.