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Finding the Fourth Proportional to 133,736.60, 200,475.30 and 54,745.40

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Solution

The fourth proportional to 133,736.60, 200,475.30 and 54,745.40 is: 82,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,736.60 : 200,475.30 = 54,745.40 : x
  2. Step 2: Convert to fraction form
    133,736.60/200,475.30 = 54,745.40/x
  3. Step 3: Cross multiply
    133,736.60x = 200,475.30 × 54,745.40
  4. Step 4: Simplify right side
    133,736.60x = 10,975,100,488.62
  5. Step 5: Solve for x
    x = 10,975,100,488.62/133,736.60
  6. Step 6: Final answer
    x = 82,065.05

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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.