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Finding the Fourth Proportional to 301,150.98, 415,581.15 and 165,183.71

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Solution

The fourth proportional to 301,150.98, 415,581.15 and 165,183.71 is: 227,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,150.98 : 415,581.15 = 165,183.71 : x
  2. Step 2: Convert to fraction form
    301,150.98/415,581.15 = 165,183.71/x
  3. Step 3: Cross multiply
    301,150.98x = 415,581.15 × 165,183.71
  4. Step 4: Simplify right side
    301,150.98x = 68,647,234,085.16
  5. Step 5: Solve for x
    x = 68,647,234,085.16/301,150.98
  6. Step 6: Final answer
    x = 227,949.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.