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Finding the Fourth Proportional to 133,577.75, 184,147.34 and 82,561.64

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Solution

The fourth proportional to 133,577.75, 184,147.34 and 82,561.64 is: 113,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,577.75 : 184,147.34 = 82,561.64 : x
  2. Step 2: Convert to fraction form
    133,577.75/184,147.34 = 82,561.64/x
  3. Step 3: Cross multiply
    133,577.75x = 184,147.34 × 82,561.64
  4. Step 4: Simplify right side
    133,577.75x = 15,203,506,469.38
  5. Step 5: Solve for x
    x = 15,203,506,469.38/133,577.75
  6. Step 6: Final answer
    x = 113,817.66

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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.