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Finding the Fourth Proportional to 277,234.92, 382,583.88 and 149,910.21

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Solution

The fourth proportional to 277,234.92, 382,583.88 and 149,910.21 is: 206,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,234.92 : 382,583.88 = 149,910.21 : x
  2. Step 2: Convert to fraction form
    277,234.92/382,583.88 = 149,910.21/x
  3. Step 3: Cross multiply
    277,234.92x = 382,583.88 × 149,910.21
  4. Step 4: Simplify right side
    277,234.92x = 57,353,229,793.41
  5. Step 5: Solve for x
    x = 57,353,229,793.41/277,234.92
  6. Step 6: Final answer
    x = 206,875.92

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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.