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Finding the Fourth Proportional to 133,847.00, 184,708.34 and 82,849.56

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Solution

The fourth proportional to 133,847.00, 184,708.34 and 82,849.56 is: 114,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,847.00 : 184,708.34 = 82,849.56 : x
  2. Step 2: Convert to fraction form
    133,847.00/184,708.34 = 82,849.56/x
  3. Step 3: Cross multiply
    133,847.00x = 184,708.34 × 82,849.56
  4. Step 4: Simplify right side
    133,847.00x = 15,303,004,283.08
  5. Step 5: Solve for x
    x = 15,303,004,283.08/133,847.00
  6. Step 6: Final answer
    x = 114,332.07

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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.