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Finding the Fourth Proportional to 133,991.76, 184,849.38 and 82,990.92

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Solution

The fourth proportional to 133,991.76, 184,849.38 and 82,990.92 is: 114,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,991.76 : 184,849.38 = 82,990.92 : x
  2. Step 2: Convert to fraction form
    133,991.76/184,849.38 = 82,990.92/x
  3. Step 3: Cross multiply
    133,991.76x = 184,849.38 × 82,990.92
  4. Step 4: Simplify right side
    133,991.76x = 15,340,820,107.63
  5. Step 5: Solve for x
    x = 15,340,820,107.63/133,991.76
  6. Step 6: Final answer
    x = 114,490.77

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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.