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Finding the Fourth Proportional to 150,870, 226,305 and 38,550.47

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Solution

The fourth proportional to 150,870, 226,305 and 38,550.47 is: 57,825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,870 : 226,305 = 38,550.47 : x
  2. Step 2: Convert to fraction form
    150,870/226,305 = 38,550.47/x
  3. Step 3: Cross multiply
    150,870x = 226,305 × 38,550.47
  4. Step 4: Simplify right side
    150,870x = 8,724,164,113.35
  5. Step 5: Solve for x
    x = 8,724,164,113.35/150,870
  6. Step 6: Final answer
    x = 57,825.71

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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.