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Finding the Fourth Proportional to 149,809.92, 206,738.76 and 82,741.92

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Solution

The fourth proportional to 149,809.92, 206,738.76 and 82,741.92 is: 114,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,809.92 : 206,738.76 = 82,741.92 : x
  2. Step 2: Convert to fraction form
    149,809.92/206,738.76 = 82,741.92/x
  3. Step 3: Cross multiply
    149,809.92x = 206,738.76 × 82,741.92
  4. Step 4: Simplify right side
    149,809.92x = 17,105,961,940.82
  5. Step 5: Solve for x
    x = 17,105,961,940.82/149,809.92
  6. Step 6: Final answer
    x = 114,184.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.