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Finding the Fourth Proportional to 188,707.80, 283,103.28 and 82,108.50

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Solution

The fourth proportional to 188,707.80, 283,103.28 and 82,108.50 is: 123,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,707.80 : 283,103.28 = 82,108.50 : x
  2. Step 2: Convert to fraction form
    188,707.80/283,103.28 = 82,108.50/x
  3. Step 3: Cross multiply
    188,707.80x = 283,103.28 × 82,108.50
  4. Step 4: Simplify right side
    188,707.80x = 23,245,185,665.88
  5. Step 5: Solve for x
    x = 23,245,185,665.88/188,707.80
  6. Step 6: Final answer
    x = 123,180.84

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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.