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Finding the Fourth Proportional to 165,123.34, 227,939.97 and 111,481.02

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Solution

The fourth proportional to 165,123.34, 227,939.97 and 111,481.02 is: 153,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,123.34 : 227,939.97 = 111,481.02 : x
  2. Step 2: Convert to fraction form
    165,123.34/227,939.97 = 111,481.02/x
  3. Step 3: Cross multiply
    165,123.34x = 227,939.97 × 111,481.02
  4. Step 4: Simplify right side
    165,123.34x = 25,410,980,772.42
  5. Step 5: Solve for x
    x = 25,410,980,772.42/165,123.34
  6. Step 6: Final answer
    x = 153,890.91

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