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Finding the Fourth Proportional to 202,158.20, 303,237.30 and 199,047.80

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Solution

The fourth proportional to 202,158.20, 303,237.30 and 199,047.80 is: 298,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,158.20 : 303,237.30 = 199,047.80 : x
  2. Step 2: Convert to fraction form
    202,158.20/303,237.30 = 199,047.80/x
  3. Step 3: Cross multiply
    202,158.20x = 303,237.30 × 199,047.80
  4. Step 4: Simplify right side
    202,158.20x = 60,358,717,442.94
  5. Step 5: Solve for x
    x = 60,358,717,442.94/202,158.20
  6. Step 6: Final answer
    x = 298,571.70

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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.