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Finding the Fourth Proportional to 217,334.78, 325,974.48 and 84,123.90

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Solution

The fourth proportional to 217,334.78, 325,974.48 and 84,123.90 is: 126,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,334.78 : 325,974.48 = 84,123.90 : x
  2. Step 2: Convert to fraction form
    217,334.78/325,974.48 = 84,123.90/x
  3. Step 3: Cross multiply
    217,334.78x = 325,974.48 × 84,123.90
  4. Step 4: Simplify right side
    217,334.78x = 27,422,244,558.07
  5. Step 5: Solve for x
    x = 27,422,244,558.07/217,334.78
  6. Step 6: Final answer
    x = 126,175.13

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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.