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Finding the Fourth Proportional to 202,446.60, 303,524.10 and 113,727.30

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Solution

The fourth proportional to 202,446.60, 303,524.10 and 113,727.30 is: 170,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446.60 : 303,524.10 = 113,727.30 : x
  2. Step 2: Convert to fraction form
    202,446.60/303,524.10 = 113,727.30/x
  3. Step 3: Cross multiply
    202,446.60x = 303,524.10 × 113,727.30
  4. Step 4: Simplify right side
    202,446.60x = 34,518,976,377.93
  5. Step 5: Solve for x
    x = 34,518,976,377.93/202,446.60
  6. Step 6: Final answer
    x = 170,509.04

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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.