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Finding the Fourth Proportional to 133,848, 184,709.71 and 82,850.56

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Solution

The fourth proportional to 133,848, 184,709.71 and 82,850.56 is: 114,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,848 : 184,709.71 = 82,850.56 : x
  2. Step 2: Convert to fraction form
    133,848/184,709.71 = 82,850.56/x
  3. Step 3: Cross multiply
    133,848x = 184,709.71 × 82,850.56
  4. Step 4: Simplify right side
    133,848x = 15,303,302,910.94
  5. Step 5: Solve for x
    x = 15,303,302,910.94/133,848
  6. Step 6: Final answer
    x = 114,333.44

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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.