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Finding the Fourth Proportional to 188,310.92, 259,805.83 and 106,628

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Solution

The fourth proportional to 188,310.92, 259,805.83 and 106,628 is: 147,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,310.92 : 259,805.83 = 106,628 : x
  2. Step 2: Convert to fraction form
    188,310.92/259,805.83 = 106,628/x
  3. Step 3: Cross multiply
    188,310.92x = 259,805.83 × 106,628
  4. Step 4: Simplify right side
    188,310.92x = 27,702,576,041.24
  5. Step 5: Solve for x
    x = 27,702,576,041.24/188,310.92
  6. Step 6: Final answer
    x = 147,110.83

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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.