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Finding the Fourth Proportional to 135,192.76, 202,816.14 and 41,695

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Solution

The fourth proportional to 135,192.76, 202,816.14 and 41,695 is: 62,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,192.76 : 202,816.14 = 41,695 : x
  2. Step 2: Convert to fraction form
    135,192.76/202,816.14 = 41,695/x
  3. Step 3: Cross multiply
    135,192.76x = 202,816.14 × 41,695
  4. Step 4: Simplify right side
    135,192.76x = 8,456,418,957.30
  5. Step 5: Solve for x
    x = 8,456,418,957.30/135,192.76
  6. Step 6: Final answer
    x = 62,550.83

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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.