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Finding the Fourth Proportional to 133,733.70, 184,571.42 and 82,762.86

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Solution

The fourth proportional to 133,733.70, 184,571.42 and 82,762.86 is: 114,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,733.70 : 184,571.42 = 82,762.86 : x
  2. Step 2: Convert to fraction form
    133,733.70/184,571.42 = 82,762.86/x
  3. Step 3: Cross multiply
    133,733.70x = 184,571.42 × 82,762.86
  4. Step 4: Simplify right side
    133,733.70x = 15,275,658,179.65
  5. Step 5: Solve for x
    x = 15,275,658,179.65/133,733.70
  6. Step 6: Final answer
    x = 114,224.45

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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.