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Finding the Fourth Proportional to 149,162, 205,848 and 82,094

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Solution

The fourth proportional to 149,162, 205,848 and 82,094 is: 113,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,162 : 205,848 = 82,094 : x
  2. Step 2: Convert to fraction form
    149,162/205,848 = 82,094/x
  3. Step 3: Cross multiply
    149,162x = 205,848 × 82,094
  4. Step 4: Simplify right side
    149,162x = 16,898,885,712
  5. Step 5: Solve for x
    x = 16,898,885,712/149,162
  6. Step 6: Final answer
    x = 113,292.16

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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.