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Finding the Fourth Proportional to 150,542.82, 225,814.62 and 50,773.09

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Solution

The fourth proportional to 150,542.82, 225,814.62 and 50,773.09 is: 76,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542.82 : 225,814.62 = 50,773.09 : x
  2. Step 2: Convert to fraction form
    150,542.82/225,814.62 = 50,773.09/x
  3. Step 3: Cross multiply
    150,542.82x = 225,814.62 × 50,773.09
  4. Step 4: Simplify right side
    150,542.82x = 11,465,306,024.58
  5. Step 5: Solve for x
    x = 11,465,306,024.58/150,542.82
  6. Step 6: Final answer
    x = 76,159.77

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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.