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Finding the Fourth Proportional to 188,080.60, 259,551.54 and 103,198.30

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Solution

The fourth proportional to 188,080.60, 259,551.54 and 103,198.30 is: 142,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,080.60 : 259,551.54 = 103,198.30 : x
  2. Step 2: Convert to fraction form
    188,080.60/259,551.54 = 103,198.30/x
  3. Step 3: Cross multiply
    188,080.60x = 259,551.54 × 103,198.30
  4. Step 4: Simplify right side
    188,080.60x = 26,785,277,690.38
  5. Step 5: Solve for x
    x = 26,785,277,690.38/188,080.60
  6. Step 6: Final answer
    x = 142,413.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.