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Finding the Fourth Proportional to 133,846.89, 184,724.13 and 80,131.87

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Solution

The fourth proportional to 133,846.89, 184,724.13 and 80,131.87 is: 110,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,846.89 : 184,724.13 = 80,131.87 : x
  2. Step 2: Convert to fraction form
    133,846.89/184,724.13 = 80,131.87/x
  3. Step 3: Cross multiply
    133,846.89x = 184,724.13 × 80,131.87
  4. Step 4: Simplify right side
    133,846.89x = 14,802,289,971.02
  5. Step 5: Solve for x
    x = 14,802,289,971.02/133,846.89
  6. Step 6: Final answer
    x = 110,591.21

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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.