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Finding the Fourth Proportional to 165,138.88, 227,986.08 and 108,714.28

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Solution

The fourth proportional to 165,138.88, 227,986.08 and 108,714.28 is: 150,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,138.88 : 227,986.08 = 108,714.28 : x
  2. Step 2: Convert to fraction form
    165,138.88/227,986.08 = 108,714.28/x
  3. Step 3: Cross multiply
    165,138.88x = 227,986.08 × 108,714.28
  4. Step 4: Simplify right side
    165,138.88x = 24,785,342,537.22
  5. Step 5: Solve for x
    x = 24,785,342,537.22/165,138.88
  6. Step 6: Final answer
    x = 150,087.87

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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.