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Finding the Fourth Proportional to 200,029.52, 299,917.56 and 100,162.64

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Solution

The fourth proportional to 200,029.52, 299,917.56 and 100,162.64 is: 150,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,029.52 : 299,917.56 = 100,162.64 : x
  2. Step 2: Convert to fraction form
    200,029.52/299,917.56 = 100,162.64/x
  3. Step 3: Cross multiply
    200,029.52x = 299,917.56 × 100,162.64
  4. Step 4: Simplify right side
    200,029.52x = 30,040,534,591.96
  5. Step 5: Solve for x
    x = 30,040,534,591.96/200,029.52
  6. Step 6: Final answer
    x = 150,180.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.