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Finding the Fourth Proportional to 149,244, 205,951.94 and 88,800.80

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Solution

The fourth proportional to 149,244, 205,951.94 and 88,800.80 is: 122,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,244 : 205,951.94 = 88,800.80 : x
  2. Step 2: Convert to fraction form
    149,244/205,951.94 = 88,800.80/x
  3. Step 3: Cross multiply
    149,244x = 205,951.94 × 88,800.80
  4. Step 4: Simplify right side
    149,244x = 18,288,697,033.55
  5. Step 5: Solve for x
    x = 18,288,697,033.55/149,244
  6. Step 6: Final answer
    x = 122,542.26

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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.