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Finding the Fourth Proportional to 133,627.08, 200,440.44 and 54,741.44

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Solution

The fourth proportional to 133,627.08, 200,440.44 and 54,741.44 is: 82,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,627.08 : 200,440.44 = 54,741.44 : x
  2. Step 2: Convert to fraction form
    133,627.08/200,440.44 = 54,741.44/x
  3. Step 3: Cross multiply
    133,627.08x = 200,440.44 × 54,741.44
  4. Step 4: Simplify right side
    133,627.08x = 10,972,398,319.83
  5. Step 5: Solve for x
    x = 10,972,398,319.83/133,627.08
  6. Step 6: Final answer
    x = 82,112.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.