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Finding the Fourth Proportional to 149,166, 205,849.08 and 82,098

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Solution

The fourth proportional to 149,166, 205,849.08 and 82,098 is: 113,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,166 : 205,849.08 = 82,098 : x
  2. Step 2: Convert to fraction form
    149,166/205,849.08 = 82,098/x
  3. Step 3: Cross multiply
    149,166x = 205,849.08 × 82,098
  4. Step 4: Simplify right side
    149,166x = 16,899,797,769.84
  5. Step 5: Solve for x
    x = 16,899,797,769.84/149,166
  6. Step 6: Final answer
    x = 113,295.24

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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.