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Finding the Fourth Proportional to 101,383.26, 152,071.74 and 42,217.44

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Solution

The fourth proportional to 101,383.26, 152,071.74 and 42,217.44 is: 63,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,383.26 : 152,071.74 = 42,217.44 : x
  2. Step 2: Convert to fraction form
    101,383.26/152,071.74 = 42,217.44/x
  3. Step 3: Cross multiply
    101,383.26x = 152,071.74 × 42,217.44
  4. Step 4: Simplify right side
    101,383.26x = 6,420,079,559.15
  5. Step 5: Solve for x
    x = 6,420,079,559.15/101,383.26
  6. Step 6: Final answer
    x = 63,324.85

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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.