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Finding the Fourth Proportional to 133,775.82, 184,573.89 and 82,764.05

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Solution

The fourth proportional to 133,775.82, 184,573.89 and 82,764.05 is: 114,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,775.82 : 184,573.89 = 82,764.05 : x
  2. Step 2: Convert to fraction form
    133,775.82/184,573.89 = 82,764.05/x
  3. Step 3: Cross multiply
    133,775.82x = 184,573.89 × 82,764.05
  4. Step 4: Simplify right side
    133,775.82x = 15,276,081,737.79
  5. Step 5: Solve for x
    x = 15,276,081,737.79/133,775.82
  6. Step 6: Final answer
    x = 114,191.65

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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.