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Finding the Fourth Proportional to 188,314, 259,896.36 and 108,826

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Solution

The fourth proportional to 188,314, 259,896.36 and 108,826 is: 150,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,314 : 259,896.36 = 108,826 : x
  2. Step 2: Convert to fraction form
    188,314/259,896.36 = 108,826/x
  3. Step 3: Cross multiply
    188,314x = 259,896.36 × 108,826
  4. Step 4: Simplify right side
    188,314x = 28,283,481,273.36
  5. Step 5: Solve for x
    x = 28,283,481,273.36/188,314
  6. Step 6: Final answer
    x = 150,193.19

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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.