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Finding the Fourth Proportional to 149,082.19, 205,733.42 and 82,014.19

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Solution

The fourth proportional to 149,082.19, 205,733.42 and 82,014.19 is: 113,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,082.19 : 205,733.42 = 82,014.19 : x
  2. Step 2: Convert to fraction form
    149,082.19/205,733.42 = 82,014.19/x
  3. Step 3: Cross multiply
    149,082.19x = 205,733.42 × 82,014.19
  4. Step 4: Simplify right side
    149,082.19x = 16,873,059,180.38
  5. Step 5: Solve for x
    x = 16,873,059,180.38/149,082.19
  6. Step 6: Final answer
    x = 113,179.58

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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.