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Finding the Fourth Proportional to 202,511.10, 303,620.85 and 113,791.80

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Solution

The fourth proportional to 202,511.10, 303,620.85 and 113,791.80 is: 170,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,511.10 : 303,620.85 = 113,791.80 : x
  2. Step 2: Convert to fraction form
    202,511.10/303,620.85 = 113,791.80/x
  3. Step 3: Cross multiply
    202,511.10x = 303,620.85 × 113,791.80
  4. Step 4: Simplify right side
    202,511.10x = 34,549,563,039.03
  5. Step 5: Solve for x
    x = 34,549,563,039.03/202,511.10
  6. Step 6: Final answer
    x = 170,605.77

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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.