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Finding the Fourth Proportional to 150,542.75, 225,814.23 and 38,231.39

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Solution

The fourth proportional to 150,542.75, 225,814.23 and 38,231.39 is: 57,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542.75 : 225,814.23 = 38,231.39 : x
  2. Step 2: Convert to fraction form
    150,542.75/225,814.23 = 38,231.39/x
  3. Step 3: Cross multiply
    150,542.75x = 225,814.23 × 38,231.39
  4. Step 4: Simplify right side
    150,542.75x = 8,633,192,459.22
  5. Step 5: Solve for x
    x = 8,633,192,459.22/150,542.75
  6. Step 6: Final answer
    x = 57,347.11

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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.