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Finding the Fourth Proportional to 135,363.96, 203,065.38 and 41,877

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Solution

The fourth proportional to 135,363.96, 203,065.38 and 41,877 is: 62,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,363.96 : 203,065.38 = 41,877 : x
  2. Step 2: Convert to fraction form
    135,363.96/203,065.38 = 41,877/x
  3. Step 3: Cross multiply
    135,363.96x = 203,065.38 × 41,877
  4. Step 4: Simplify right side
    135,363.96x = 8,503,768,918.26
  5. Step 5: Solve for x
    x = 8,503,768,918.26/135,363.96
  6. Step 6: Final answer
    x = 62,821.51

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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.