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Finding the Fourth Proportional to 203,593.70, 305,489.91 and 144,005.04

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Solution

The fourth proportional to 203,593.70, 305,489.91 and 144,005.04 is: 216,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,593.70 : 305,489.91 = 144,005.04 : x
  2. Step 2: Convert to fraction form
    203,593.70/305,489.91 = 144,005.04/x
  3. Step 3: Cross multiply
    203,593.70x = 305,489.91 × 144,005.04
  4. Step 4: Simplify right side
    203,593.70x = 43,992,086,709.15
  5. Step 5: Solve for x
    x = 43,992,086,709.15/203,593.70
  6. Step 6: Final answer
    x = 216,077.84

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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.