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Finding the Fourth Proportional to 188,736, 283,147.74 and 64,077

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Solution

The fourth proportional to 188,736, 283,147.74 and 64,077 is: 96,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,736 : 283,147.74 = 64,077 : x
  2. Step 2: Convert to fraction form
    188,736/283,147.74 = 64,077/x
  3. Step 3: Cross multiply
    188,736x = 283,147.74 × 64,077
  4. Step 4: Simplify right side
    188,736x = 18,143,257,735.98
  5. Step 5: Solve for x
    x = 18,143,257,735.98/188,736
  6. Step 6: Final answer
    x = 96,130.35

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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.