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Finding the Fourth Proportional to 149,201.44, 205,896.72 and 82,132

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Solution

The fourth proportional to 149,201.44, 205,896.72 and 82,132 is: 113,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,201.44 : 205,896.72 = 82,132 : x
  2. Step 2: Convert to fraction form
    149,201.44/205,896.72 = 82,132/x
  3. Step 3: Cross multiply
    149,201.44x = 205,896.72 × 82,132
  4. Step 4: Simplify right side
    149,201.44x = 16,910,709,407.04
  5. Step 5: Solve for x
    x = 16,910,709,407.04/149,201.44
  6. Step 6: Final answer
    x = 113,341.46

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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.