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Finding the Fourth Proportional to 188,657.25, 282,917.36 and 103,331.45

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Solution

The fourth proportional to 188,657.25, 282,917.36 and 103,331.45 is: 154,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,657.25 : 282,917.36 = 103,331.45 : x
  2. Step 2: Convert to fraction form
    188,657.25/282,917.36 = 103,331.45/x
  3. Step 3: Cross multiply
    188,657.25x = 282,917.36 × 103,331.45
  4. Step 4: Simplify right side
    188,657.25x = 29,234,259,107.73
  5. Step 5: Solve for x
    x = 29,234,259,107.73/188,657.25
  6. Step 6: Final answer
    x = 154,959.64

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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.