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Finding the Fourth Proportional to 202,198.20, 303,102.90 and 157,194.60

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Solution

The fourth proportional to 202,198.20, 303,102.90 and 157,194.60 is: 235,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198.20 : 303,102.90 = 157,194.60 : x
  2. Step 2: Convert to fraction form
    202,198.20/303,102.90 = 157,194.60/x
  3. Step 3: Cross multiply
    202,198.20x = 303,102.90 × 157,194.60
  4. Step 4: Simplify right side
    202,198.20x = 47,646,139,124.34
  5. Step 5: Solve for x
    x = 47,646,139,124.34/202,198.20
  6. Step 6: Final answer
    x = 235,640.77

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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.