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Finding the Fourth Proportional to 188,147.84, 259,640.66 and 106,475.27

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Solution

The fourth proportional to 188,147.84, 259,640.66 and 106,475.27 is: 146,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,147.84 : 259,640.66 = 106,475.27 : x
  2. Step 2: Convert to fraction form
    188,147.84/259,640.66 = 106,475.27/x
  3. Step 3: Cross multiply
    188,147.84x = 259,640.66 × 106,475.27
  4. Step 4: Simplify right side
    188,147.84x = 27,645,308,844.10
  5. Step 5: Solve for x
    x = 27,645,308,844.10/188,147.84
  6. Step 6: Final answer
    x = 146,933.97

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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.