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Finding the Fourth Proportional to 275,107.14, 412,625.34 and 106,511.88

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Solution

The fourth proportional to 275,107.14, 412,625.34 and 106,511.88 is: 159,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,107.14 : 412,625.34 = 106,511.88 : x
  2. Step 2: Convert to fraction form
    275,107.14/412,625.34 = 106,511.88/x
  3. Step 3: Cross multiply
    275,107.14x = 412,625.34 × 106,511.88
  4. Step 4: Simplify right side
    275,107.14x = 43,949,500,699.04
  5. Step 5: Solve for x
    x = 43,949,500,699.04/275,107.14
  6. Step 6: Final answer
    x = 159,754.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.