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Finding the Fourth Proportional to 202,334.46, 303,654.86 and 113,662.55

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Solution

The fourth proportional to 202,334.46, 303,654.86 and 113,662.55 is: 170,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,334.46 : 303,654.86 = 113,662.55 : x
  2. Step 2: Convert to fraction form
    202,334.46/303,654.86 = 113,662.55/x
  3. Step 3: Cross multiply
    202,334.46x = 303,654.86 × 113,662.55
  4. Step 4: Simplify right side
    202,334.46x = 34,514,183,620.91
  5. Step 5: Solve for x
    x = 34,514,183,620.91/202,334.46
  6. Step 6: Final answer
    x = 170,579.86

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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.