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Finding the Fourth Proportional to 277,706.22, 383,234.49 and 150,381.78

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Solution

The fourth proportional to 277,706.22, 383,234.49 and 150,381.78 is: 207,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,706.22 : 383,234.49 = 150,381.78 : x
  2. Step 2: Convert to fraction form
    277,706.22/383,234.49 = 150,381.78/x
  3. Step 3: Cross multiply
    277,706.22x = 383,234.49 × 150,381.78
  4. Step 4: Simplify right side
    277,706.22x = 57,631,484,763.59
  5. Step 5: Solve for x
    x = 57,631,484,763.59/277,706.22
  6. Step 6: Final answer
    x = 207,526.81

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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.