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Finding the Fourth Proportional to 106,610.98, 159,857.64 and 43,414.90

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Solution

The fourth proportional to 106,610.98, 159,857.64 and 43,414.90 is: 65,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,610.98 : 159,857.64 = 43,414.90 : x
  2. Step 2: Convert to fraction form
    106,610.98/159,857.64 = 43,414.90/x
  3. Step 3: Cross multiply
    106,610.98x = 159,857.64 × 43,414.90
  4. Step 4: Simplify right side
    106,610.98x = 6,940,203,454.84
  5. Step 5: Solve for x
    x = 6,940,203,454.84/106,610.98
  6. Step 6: Final answer
    x = 65,098.39

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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.