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Finding the Fourth Proportional to 133,496.64, 184,221.72 and 82,488.96

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Solution

The fourth proportional to 133,496.64, 184,221.72 and 82,488.96 is: 113,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,496.64 : 184,221.72 = 82,488.96 : x
  2. Step 2: Convert to fraction form
    133,496.64/184,221.72 = 82,488.96/x
  3. Step 3: Cross multiply
    133,496.64x = 184,221.72 × 82,488.96
  4. Step 4: Simplify right side
    133,496.64x = 15,196,258,092.21
  5. Step 5: Solve for x
    x = 15,196,258,092.21/133,496.64
  6. Step 6: Final answer
    x = 113,832.51

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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.