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Finding the Fourth Proportional to 101,682.60, 152,610.30 and 81,983.40

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Solution

The fourth proportional to 101,682.60, 152,610.30 and 81,983.40 is: 123,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,682.60 : 152,610.30 = 81,983.40 : x
  2. Step 2: Convert to fraction form
    101,682.60/152,610.30 = 81,983.40/x
  3. Step 3: Cross multiply
    101,682.60x = 152,610.30 × 81,983.40
  4. Step 4: Simplify right side
    101,682.60x = 12,511,511,269.02
  5. Step 5: Solve for x
    x = 12,511,511,269.02/101,682.60
  6. Step 6: Final answer
    x = 123,044.76

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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.