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Finding the Fourth Proportional to 305,889.56, 422,130.48 and 168,071.38

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Solution

The fourth proportional to 305,889.56, 422,130.48 and 168,071.38 is: 231,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,889.56 : 422,130.48 = 168,071.38 : x
  2. Step 2: Convert to fraction form
    305,889.56/422,130.48 = 168,071.38/x
  3. Step 3: Cross multiply
    305,889.56x = 422,130.48 × 168,071.38
  4. Step 4: Simplify right side
    305,889.56x = 70,948,052,313.66
  5. Step 5: Solve for x
    x = 70,948,052,313.66/305,889.56
  6. Step 6: Final answer
    x = 231,940.09

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Why These Related Problems?

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