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Finding the Fourth Proportional to 188,100.88, 259,578.86 and 102,059.84

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Solution

The fourth proportional to 188,100.88, 259,578.86 and 102,059.84 is: 140,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,100.88 : 259,578.86 = 102,059.84 : x
  2. Step 2: Convert to fraction form
    188,100.88/259,578.86 = 102,059.84/x
  3. Step 3: Cross multiply
    188,100.88x = 259,578.86 × 102,059.84
  4. Step 4: Simplify right side
    188,100.88x = 26,492,576,918.98
  5. Step 5: Solve for x
    x = 26,492,576,918.98/188,100.88
  6. Step 6: Final answer
    x = 140,842.39

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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.