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Finding the Fourth Proportional to 202,409.40, 303,614.10 and 199,644.60

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Solution

The fourth proportional to 202,409.40, 303,614.10 and 199,644.60 is: 299,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,409.40 : 303,614.10 = 199,644.60 : x
  2. Step 2: Convert to fraction form
    202,409.40/303,614.10 = 199,644.60/x
  3. Step 3: Cross multiply
    202,409.40x = 303,614.10 × 199,644.60
  4. Step 4: Simplify right side
    202,409.40x = 60,614,915,548.86
  5. Step 5: Solve for x
    x = 60,614,915,548.86/202,409.40
  6. Step 6: Final answer
    x = 299,466.90

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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.