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Finding the Fourth Proportional to 225,847.10, 338,713.94 and 92,764.10

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Solution

The fourth proportional to 225,847.10, 338,713.94 and 92,764.10 is: 139,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,847.10 : 338,713.94 = 92,764.10 : x
  2. Step 2: Convert to fraction form
    225,847.10/338,713.94 = 92,764.10/x
  3. Step 3: Cross multiply
    225,847.10x = 338,713.94 × 92,764.10
  4. Step 4: Simplify right side
    225,847.10x = 31,420,494,880.25
  5. Step 5: Solve for x
    x = 31,420,494,880.25/225,847.10
  6. Step 6: Final answer
    x = 139,122.86

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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.