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Finding the Fourth Proportional to 202,500.10, 303,604.35 and 113,780.80

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Solution

The fourth proportional to 202,500.10, 303,604.35 and 113,780.80 is: 170,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,500.10 : 303,604.35 = 113,780.80 : x
  2. Step 2: Convert to fraction form
    202,500.10/303,604.35 = 113,780.80/x
  3. Step 3: Cross multiply
    202,500.10x = 303,604.35 × 113,780.80
  4. Step 4: Simplify right side
    202,500.10x = 34,544,345,826.48
  5. Step 5: Solve for x
    x = 34,544,345,826.48/202,500.10
  6. Step 6: Final answer
    x = 170,589.28

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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.