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Finding the Fourth Proportional to 180,654.56, 271,078.32 and 135,974.12

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Solution

The fourth proportional to 180,654.56, 271,078.32 and 135,974.12 is: 204,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,654.56 : 271,078.32 = 135,974.12 : x
  2. Step 2: Convert to fraction form
    180,654.56/271,078.32 = 135,974.12/x
  3. Step 3: Cross multiply
    180,654.56x = 271,078.32 × 135,974.12
  4. Step 4: Simplify right side
    180,654.56x = 36,859,636,013.08
  5. Step 5: Solve for x
    x = 36,859,636,013.08/180,654.56
  6. Step 6: Final answer
    x = 204,033.80

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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.