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Finding the Fourth Proportional to 181,098.45, 271,826.46 and 135,962.82

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Solution

The fourth proportional to 181,098.45, 271,826.46 and 135,962.82 is: 204,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,098.45 : 271,826.46 = 135,962.82 : x
  2. Step 2: Convert to fraction form
    181,098.45/271,826.46 = 135,962.82/x
  3. Step 3: Cross multiply
    181,098.45x = 271,826.46 × 135,962.82
  4. Step 4: Simplify right side
    181,098.45x = 36,958,292,052.22
  5. Step 5: Solve for x
    x = 36,958,292,052.22/181,098.45
  6. Step 6: Final answer
    x = 204,078.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.