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Finding the Fourth Proportional to 133,650.51, 184,367.72 and 82,646.97

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Solution

The fourth proportional to 133,650.51, 184,367.72 and 82,646.97 is: 114,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,650.51 : 184,367.72 = 82,646.97 : x
  2. Step 2: Convert to fraction form
    133,650.51/184,367.72 = 82,646.97/x
  3. Step 3: Cross multiply
    133,650.51x = 184,367.72 × 82,646.97
  4. Step 4: Simplify right side
    133,650.51x = 15,237,433,010.57
  5. Step 5: Solve for x
    x = 15,237,433,010.57/133,650.51
  6. Step 6: Final answer
    x = 114,009.54

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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.