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Finding the Fourth Proportional to 202,195.40, 303,293.10 and 179,450.60

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Solution

The fourth proportional to 202,195.40, 303,293.10 and 179,450.60 is: 269,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,195.40 : 303,293.10 = 179,450.60 : x
  2. Step 2: Convert to fraction form
    202,195.40/303,293.10 = 179,450.60/x
  3. Step 3: Cross multiply
    202,195.40x = 303,293.10 × 179,450.60
  4. Step 4: Simplify right side
    202,195.40x = 54,426,128,770.86
  5. Step 5: Solve for x
    x = 54,426,128,770.86/202,195.40
  6. Step 6: Final answer
    x = 269,175.90

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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.