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Finding the Fourth Proportional to 133,738.70, 184,578.32 and 82,767.86

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Solution

The fourth proportional to 133,738.70, 184,578.32 and 82,767.86 is: 114,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,738.70 : 184,578.32 = 82,767.86 : x
  2. Step 2: Convert to fraction form
    133,738.70/184,578.32 = 82,767.86/x
  3. Step 3: Cross multiply
    133,738.70x = 184,578.32 × 82,767.86
  4. Step 4: Simplify right side
    133,738.70x = 15,277,152,548.80
  5. Step 5: Solve for x
    x = 15,277,152,548.80/133,738.70
  6. Step 6: Final answer
    x = 114,231.35

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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.