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Finding the Fourth Proportional to 300,183.84, 414,213.12 and 171,138.96

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Solution

The fourth proportional to 300,183.84, 414,213.12 and 171,138.96 is: 236,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,183.84 : 414,213.12 = 171,138.96 : x
  2. Step 2: Convert to fraction form
    300,183.84/414,213.12 = 171,138.96/x
  3. Step 3: Cross multiply
    300,183.84x = 414,213.12 × 171,138.96
  4. Step 4: Simplify right side
    300,183.84x = 70,888,002,575.16
  5. Step 5: Solve for x
    x = 70,888,002,575.16/300,183.84
  6. Step 6: Final answer
    x = 236,148.63

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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.