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Finding the Fourth Proportional to 135,144.48, 202,702.32 and 41,640

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Solution

The fourth proportional to 135,144.48, 202,702.32 and 41,640 is: 62,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,144.48 : 202,702.32 = 41,640 : x
  2. Step 2: Convert to fraction form
    135,144.48/202,702.32 = 41,640/x
  3. Step 3: Cross multiply
    135,144.48x = 202,702.32 × 41,640
  4. Step 4: Simplify right side
    135,144.48x = 8,440,524,604.80
  5. Step 5: Solve for x
    x = 8,440,524,604.80/135,144.48
  6. Step 6: Final answer
    x = 62,455.56

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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.