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Finding the Fourth Proportional to 133,747.68, 184,573.86 and 80,034.96

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Solution

The fourth proportional to 133,747.68, 184,573.86 and 80,034.96 is: 110,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,747.68 : 184,573.86 = 80,034.96 : x
  2. Step 2: Convert to fraction form
    133,747.68/184,573.86 = 80,034.96/x
  3. Step 3: Cross multiply
    133,747.68x = 184,573.86 × 80,034.96
  4. Step 4: Simplify right side
    133,747.68x = 14,772,361,502.15
  5. Step 5: Solve for x
    x = 14,772,361,502.15/133,747.68
  6. Step 6: Final answer
    x = 110,449.48

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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.