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Finding the Fourth Proportional to 217,072.64, 325,346.52 and 111,834.20

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Solution

The fourth proportional to 217,072.64, 325,346.52 and 111,834.20 is: 167,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,072.64 : 325,346.52 = 111,834.20 : x
  2. Step 2: Convert to fraction form
    217,072.64/325,346.52 = 111,834.20/x
  3. Step 3: Cross multiply
    217,072.64x = 325,346.52 × 111,834.20
  4. Step 4: Simplify right side
    217,072.64x = 36,384,867,786.98
  5. Step 5: Solve for x
    x = 36,384,867,786.98/217,072.64
  6. Step 6: Final answer
    x = 167,616.09

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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.