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Finding the Fourth Proportional to 277,185.92, 382,516.56 and 149,861.48

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Solution

The fourth proportional to 277,185.92, 382,516.56 and 149,861.48 is: 206,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,185.92 : 382,516.56 = 149,861.48 : x
  2. Step 2: Convert to fraction form
    277,185.92/382,516.56 = 149,861.48/x
  3. Step 3: Cross multiply
    277,185.92x = 382,516.56 × 149,861.48
  4. Step 4: Simplify right side
    277,185.92x = 57,324,497,806.11
  5. Step 5: Solve for x
    x = 57,324,497,806.11/277,185.92
  6. Step 6: Final answer
    x = 206,808.84

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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.