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Finding the Fourth Proportional to 188,116.73, 282,201.57 and 55,007

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Solution

The fourth proportional to 188,116.73, 282,201.57 and 55,007 is: 82,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,116.73 : 282,201.57 = 55,007 : x
  2. Step 2: Convert to fraction form
    188,116.73/282,201.57 = 55,007/x
  3. Step 3: Cross multiply
    188,116.73x = 282,201.57 × 55,007
  4. Step 4: Simplify right side
    188,116.73x = 15,523,061,760.99
  5. Step 5: Solve for x
    x = 15,523,061,760.99/188,116.73
  6. Step 6: Final answer
    x = 82,518.24

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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.