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Finding the Fourth Proportional to 188,201.54, 259,684.61 and 106,529.37

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Solution

The fourth proportional to 188,201.54, 259,684.61 and 106,529.37 is: 146,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,201.54 : 259,684.61 = 106,529.37 : x
  2. Step 2: Convert to fraction form
    188,201.54/259,684.61 = 106,529.37/x
  3. Step 3: Cross multiply
    188,201.54x = 259,684.61 × 106,529.37
  4. Step 4: Simplify right side
    188,201.54x = 27,664,037,369.35
  5. Step 5: Solve for x
    x = 27,664,037,369.35/188,201.54
  6. Step 6: Final answer
    x = 146,991.56

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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.