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Finding the Fourth Proportional to 277,687.34, 383,200.82 and 164,510.09

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Solution

The fourth proportional to 277,687.34, 383,200.82 and 164,510.09 is: 227,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,687.34 : 383,200.82 = 164,510.09 : x
  2. Step 2: Convert to fraction form
    277,687.34/383,200.82 = 164,510.09/x
  3. Step 3: Cross multiply
    277,687.34x = 383,200.82 × 164,510.09
  4. Step 4: Simplify right side
    277,687.34x = 63,040,401,627.00
  5. Step 5: Solve for x
    x = 63,040,401,627.00/277,687.34
  6. Step 6: Final answer
    x = 227,019.36

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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.