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Finding the Fourth Proportional to 408,977.98, 613,747.21 and 142,738.50

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Solution

The fourth proportional to 408,977.98, 613,747.21 and 142,738.50 is: 214,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,977.98 : 613,747.21 = 142,738.50 : x
  2. Step 2: Convert to fraction form
    408,977.98/613,747.21 = 142,738.50/x
  3. Step 3: Cross multiply
    408,977.98x = 613,747.21 × 142,738.50
  4. Step 4: Simplify right side
    408,977.98x = 87,605,355,420.89
  5. Step 5: Solve for x
    x = 87,605,355,420.89/408,977.98
  6. Step 6: Final answer
    x = 214,205.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.