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Finding the Fourth Proportional to 300,753.83, 451,098.94 and 158,542.13

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Solution

The fourth proportional to 300,753.83, 451,098.94 and 158,542.13 is: 237,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,753.83 : 451,098.94 = 158,542.13 : x
  2. Step 2: Convert to fraction form
    300,753.83/451,098.94 = 158,542.13/x
  3. Step 3: Cross multiply
    300,753.83x = 451,098.94 × 158,542.13
  4. Step 4: Simplify right side
    300,753.83x = 71,518,184,532.85
  5. Step 5: Solve for x
    x = 71,518,184,532.85/300,753.83
  6. Step 6: Final answer
    x = 237,796.43

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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.