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Finding the Fourth Proportional to 202,209.10, 303,313.65 and 199,584.70

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Solution

The fourth proportional to 202,209.10, 303,313.65 and 199,584.70 is: 299,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209.10 : 303,313.65 = 199,584.70 : x
  2. Step 2: Convert to fraction form
    202,209.10/303,313.65 = 199,584.70/x
  3. Step 3: Cross multiply
    202,209.10x = 303,313.65 × 199,584.70
  4. Step 4: Simplify right side
    202,209.10x = 60,536,763,841.16
  5. Step 5: Solve for x
    x = 60,536,763,841.16/202,209.10
  6. Step 6: Final answer
    x = 299,377.05

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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.