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Finding the Fourth Proportional to 135,329.96, 203,014.44 and 41,843

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Solution

The fourth proportional to 135,329.96, 203,014.44 and 41,843 is: 62,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,329.96 : 203,014.44 = 41,843 : x
  2. Step 2: Convert to fraction form
    135,329.96/203,014.44 = 41,843/x
  3. Step 3: Cross multiply
    135,329.96x = 203,014.44 × 41,843
  4. Step 4: Simplify right side
    135,329.96x = 8,494,733,212.92
  5. Step 5: Solve for x
    x = 8,494,733,212.92/135,329.96
  6. Step 6: Final answer
    x = 62,770.53

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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.