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Finding the Fourth Proportional to 188,326.17, 259,826.76 and 106,643.25

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Solution

The fourth proportional to 188,326.17, 259,826.76 and 106,643.25 is: 147,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,326.17 : 259,826.76 = 106,643.25 : x
  2. Step 2: Convert to fraction form
    188,326.17/259,826.76 = 106,643.25/x
  3. Step 3: Cross multiply
    188,326.17x = 259,826.76 × 106,643.25
  4. Step 4: Simplify right side
    188,326.17x = 27,708,770,123.37
  5. Step 5: Solve for x
    x = 27,708,770,123.37/188,326.17
  6. Step 6: Final answer
    x = 147,131.81

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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.