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Finding the Fourth Proportional to 202,194.20, 302,692.26 and 149,838.68

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Solution

The fourth proportional to 202,194.20, 302,692.26 and 149,838.68 is: 224,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,194.20 : 302,692.26 = 149,838.68 : x
  2. Step 2: Convert to fraction form
    202,194.20/302,692.26 = 149,838.68/x
  3. Step 3: Cross multiply
    202,194.20x = 302,692.26 × 149,838.68
  4. Step 4: Simplify right side
    202,194.20x = 45,355,008,684.62
  5. Step 5: Solve for x
    x = 45,355,008,684.62/202,194.20
  6. Step 6: Final answer
    x = 224,314.09

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