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Finding the Fourth Proportional to 217,141.22, 325,755.34 and 74,991.69

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Solution

The fourth proportional to 217,141.22, 325,755.34 and 74,991.69 is: 112,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,141.22 : 325,755.34 = 74,991.69 : x
  2. Step 2: Convert to fraction form
    217,141.22/325,755.34 = 74,991.69/x
  3. Step 3: Cross multiply
    217,141.22x = 325,755.34 × 74,991.69
  4. Step 4: Simplify right side
    217,141.22x = 24,428,943,285.65
  5. Step 5: Solve for x
    x = 24,428,943,285.65/217,141.22
  6. Step 6: Final answer
    x = 112,502.56

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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.