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Finding the Fourth Proportional to 203,864.20, 305,796.30 and 201,895.90

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Solution

The fourth proportional to 203,864.20, 305,796.30 and 201,895.90 is: 302,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,864.20 : 305,796.30 = 201,895.90 : x
  2. Step 2: Convert to fraction form
    203,864.20/305,796.30 = 201,895.90/x
  3. Step 3: Cross multiply
    203,864.20x = 305,796.30 × 201,895.90
  4. Step 4: Simplify right side
    203,864.20x = 61,739,019,205.17
  5. Step 5: Solve for x
    x = 61,739,019,205.17/203,864.20
  6. Step 6: Final answer
    x = 302,843.85

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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.