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Finding the Fourth Proportional to 122,805.72, 184,093.56 and 111,849.66

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Solution

The fourth proportional to 122,805.72, 184,093.56 and 111,849.66 is: 167,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,805.72 : 184,093.56 = 111,849.66 : x
  2. Step 2: Convert to fraction form
    122,805.72/184,093.56 = 111,849.66/x
  3. Step 3: Cross multiply
    122,805.72x = 184,093.56 × 111,849.66
  4. Step 4: Simplify right side
    122,805.72x = 20,590,802,094.19
  5. Step 5: Solve for x
    x = 20,590,802,094.19/122,805.72
  6. Step 6: Final answer
    x = 167,669.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.