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Finding the Fourth Proportional to 135,138.25, 202,710.21 and 41,644

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Solution

The fourth proportional to 135,138.25, 202,710.21 and 41,644 is: 62,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,138.25 : 202,710.21 = 41,644 : x
  2. Step 2: Convert to fraction form
    135,138.25/202,710.21 = 41,644/x
  3. Step 3: Cross multiply
    135,138.25x = 202,710.21 × 41,644
  4. Step 4: Simplify right side
    135,138.25x = 8,441,663,985.24
  5. Step 5: Solve for x
    x = 8,441,663,985.24/135,138.25
  6. Step 6: Final answer
    x = 62,466.87

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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.