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Finding the Fourth Proportional to 184,077.98, 253,902.74 and 119,431.73

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Solution

The fourth proportional to 184,077.98, 253,902.74 and 119,431.73 is: 164,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,077.98 : 253,902.74 = 119,431.73 : x
  2. Step 2: Convert to fraction form
    184,077.98/253,902.74 = 119,431.73/x
  3. Step 3: Cross multiply
    184,077.98x = 253,902.74 × 119,431.73
  4. Step 4: Simplify right side
    184,077.98x = 30,324,041,623.27
  5. Step 5: Solve for x
    x = 30,324,041,623.27/184,077.98
  6. Step 6: Final answer
    x = 164,734.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.