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Finding the Fourth Proportional to 203,857.40, 305,834.70 and 98,589.80

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Solution

The fourth proportional to 203,857.40, 305,834.70 and 98,589.80 is: 147,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,857.40 : 305,834.70 = 98,589.80 : x
  2. Step 2: Convert to fraction form
    203,857.40/305,834.70 = 98,589.80/x
  3. Step 3: Cross multiply
    203,857.40x = 305,834.70 × 98,589.80
  4. Step 4: Simplify right side
    203,857.40x = 30,152,181,906.06
  5. Step 5: Solve for x
    x = 30,152,181,906.06/203,857.40
  6. Step 6: Final answer
    x = 147,908.20

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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.