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Finding the Fourth Proportional to 135,887.82, 203,753.25 and 52,684.62

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Solution

The fourth proportional to 135,887.82, 203,753.25 and 52,684.62 is: 78,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,887.82 : 203,753.25 = 52,684.62 : x
  2. Step 2: Convert to fraction form
    135,887.82/203,753.25 = 52,684.62/x
  3. Step 3: Cross multiply
    135,887.82x = 203,753.25 × 52,684.62
  4. Step 4: Simplify right side
    135,887.82x = 10,734,662,550.02
  5. Step 5: Solve for x
    x = 10,734,662,550.02/135,887.82
  6. Step 6: Final answer
    x = 78,996.50

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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.