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Finding the Fourth Proportional to 109,201.58, 163,789.41 and 64,249.82

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Solution

The fourth proportional to 109,201.58, 163,789.41 and 64,249.82 is: 96,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,201.58 : 163,789.41 = 64,249.82 : x
  2. Step 2: Convert to fraction form
    109,201.58/163,789.41 = 64,249.82/x
  3. Step 3: Cross multiply
    109,201.58x = 163,789.41 × 64,249.82
  4. Step 4: Simplify right side
    109,201.58x = 10,523,440,110.41
  5. Step 5: Solve for x
    x = 10,523,440,110.41/109,201.58
  6. Step 6: Final answer
    x = 96,367.10

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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.