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Finding the Fourth Proportional to 193,352.38, 290,016.91 and 114,965.44

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Solution

The fourth proportional to 193,352.38, 290,016.91 and 114,965.44 is: 172,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,352.38 : 290,016.91 = 114,965.44 : x
  2. Step 2: Convert to fraction form
    193,352.38/290,016.91 = 114,965.44/x
  3. Step 3: Cross multiply
    193,352.38x = 290,016.91 × 114,965.44
  4. Step 4: Simplify right side
    193,352.38x = 33,341,921,665.59
  5. Step 5: Solve for x
    x = 33,341,921,665.59/193,352.38
  6. Step 6: Final answer
    x = 172,441.23

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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.