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Finding the Fourth Proportional to 201,682.20, 302,523.30 and 192,824.85

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Solution

The fourth proportional to 201,682.20, 302,523.30 and 192,824.85 is: 289,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682.20 : 302,523.30 = 192,824.85 : x
  2. Step 2: Convert to fraction form
    201,682.20/302,523.30 = 192,824.85/x
  3. Step 3: Cross multiply
    201,682.20x = 302,523.30 × 192,824.85
  4. Step 4: Simplify right side
    201,682.20x = 58,334,009,944.01
  5. Step 5: Solve for x
    x = 58,334,009,944.01/201,682.20
  6. Step 6: Final answer
    x = 289,237.28

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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.