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Finding the Fourth Proportional to 205,982.70, 308,974.05 and 182,654.70

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Solution

The fourth proportional to 205,982.70, 308,974.05 and 182,654.70 is: 273,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,982.70 : 308,974.05 = 182,654.70 : x
  2. Step 2: Convert to fraction form
    205,982.70/308,974.05 = 182,654.70/x
  3. Step 3: Cross multiply
    205,982.70x = 308,974.05 × 182,654.70
  4. Step 4: Simplify right side
    205,982.70x = 56,435,562,410.54
  5. Step 5: Solve for x
    x = 56,435,562,410.54/205,982.70
  6. Step 6: Final answer
    x = 273,982.05

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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.