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Finding the Fourth Proportional to 122,949.09, 184,387.19 and 52,812

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Solution

The fourth proportional to 122,949.09, 184,387.19 and 52,812 is: 79,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,949.09 : 184,387.19 = 52,812 : x
  2. Step 2: Convert to fraction form
    122,949.09/184,387.19 = 52,812/x
  3. Step 3: Cross multiply
    122,949.09x = 184,387.19 × 52,812
  4. Step 4: Simplify right side
    122,949.09x = 9,737,856,014.22
  5. Step 5: Solve for x
    x = 9,737,856,014.22/122,949.09
  6. Step 6: Final answer
    x = 79,202.34

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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.