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Finding the Fourth Proportional to 188,222.36, 259,713 and 106,550.06

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Solution

The fourth proportional to 188,222.36, 259,713 and 106,550.06 is: 147,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,222.36 : 259,713 = 106,550.06 : x
  2. Step 2: Convert to fraction form
    188,222.36/259,713 = 106,550.06/x
  3. Step 3: Cross multiply
    188,222.36x = 259,713 × 106,550.06
  4. Step 4: Simplify right side
    188,222.36x = 27,672,434,434.22
  5. Step 5: Solve for x
    x = 27,672,434,434.22/188,222.36
  6. Step 6: Final answer
    x = 147,019.91

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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.