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Finding the Fourth Proportional to 135,834.50, 203,763 and 42,340.26

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Solution

The fourth proportional to 135,834.50, 203,763 and 42,340.26 is: 63,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,834.50 : 203,763 = 42,340.26 : x
  2. Step 2: Convert to fraction form
    135,834.50/203,763 = 42,340.26/x
  3. Step 3: Cross multiply
    135,834.50x = 203,763 × 42,340.26
  4. Step 4: Simplify right side
    135,834.50x = 8,627,378,398.38
  5. Step 5: Solve for x
    x = 8,627,378,398.38/135,834.50
  6. Step 6: Final answer
    x = 63,513.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.