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Finding the Fourth Proportional to 135,231.16, 202,849.80 and 41,737

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Solution

The fourth proportional to 135,231.16, 202,849.80 and 41,737 is: 62,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,231.16 : 202,849.80 = 41,737 : x
  2. Step 2: Convert to fraction form
    135,231.16/202,849.80 = 41,737/x
  3. Step 3: Cross multiply
    135,231.16x = 202,849.80 × 41,737
  4. Step 4: Simplify right side
    135,231.16x = 8,466,342,102.60
  5. Step 5: Solve for x
    x = 8,466,342,102.60/135,231.16
  6. Step 6: Final answer
    x = 62,606.44

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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.