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Finding the Fourth Proportional to 188,843.36, 283,123.53 and 113,945.81

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Solution

The fourth proportional to 188,843.36, 283,123.53 and 113,945.81 is: 170,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,843.36 : 283,123.53 = 113,945.81 : x
  2. Step 2: Convert to fraction form
    188,843.36/283,123.53 = 113,945.81/x
  3. Step 3: Cross multiply
    188,843.36x = 283,123.53 × 113,945.81
  4. Step 4: Simplify right side
    188,843.36x = 32,260,738,540.29
  5. Step 5: Solve for x
    x = 32,260,738,540.29/188,843.36
  6. Step 6: Final answer
    x = 170,833.33

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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.