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Finding the Fourth Proportional to 188,093.56, 259,568.40 and 103,212.04

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Solution

The fourth proportional to 188,093.56, 259,568.40 and 103,212.04 is: 142,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,093.56 : 259,568.40 = 103,212.04 : x
  2. Step 2: Convert to fraction form
    188,093.56/259,568.40 = 103,212.04/x
  3. Step 3: Cross multiply
    188,093.56x = 259,568.40 × 103,212.04
  4. Step 4: Simplify right side
    188,093.56x = 26,790,584,083.54
  5. Step 5: Solve for x
    x = 26,790,584,083.54/188,093.56
  6. Step 6: Final answer
    x = 142,432.22

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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.