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Finding the Fourth Proportional to 188,116.23, 282,200.82 and 55,006.50

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Solution

The fourth proportional to 188,116.23, 282,200.82 and 55,006.50 is: 82,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,116.23 : 282,200.82 = 55,006.50 : x
  2. Step 2: Convert to fraction form
    188,116.23/282,200.82 = 55,006.50/x
  3. Step 3: Cross multiply
    188,116.23x = 282,200.82 × 55,006.50
  4. Step 4: Simplify right side
    188,116.23x = 15,522,879,405.33
  5. Step 5: Solve for x
    x = 15,522,879,405.33/188,116.23
  6. Step 6: Final answer
    x = 82,517.49

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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.