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Finding the Fourth Proportional to 133,442.70, 184,197.84 and 82,494.51

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Solution

The fourth proportional to 133,442.70, 184,197.84 and 82,494.51 is: 113,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,442.70 : 184,197.84 = 82,494.51 : x
  2. Step 2: Convert to fraction form
    133,442.70/184,197.84 = 82,494.51/x
  3. Step 3: Cross multiply
    133,442.70x = 184,197.84 × 82,494.51
  4. Step 4: Simplify right side
    133,442.70x = 15,195,310,553.86
  5. Step 5: Solve for x
    x = 15,195,310,553.86/133,442.70
  6. Step 6: Final answer
    x = 113,871.43

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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.