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Finding the Fourth Proportional to 144,933.44, 217,375.04 and 38,318.54

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Solution

The fourth proportional to 144,933.44, 217,375.04 and 38,318.54 is: 57,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,933.44 : 217,375.04 = 38,318.54 : x
  2. Step 2: Convert to fraction form
    144,933.44/217,375.04 = 38,318.54/x
  3. Step 3: Cross multiply
    144,933.44x = 217,375.04 × 38,318.54
  4. Step 4: Simplify right side
    144,933.44x = 8,329,493,174.16
  5. Step 5: Solve for x
    x = 8,329,493,174.16/144,933.44
  6. Step 6: Final answer
    x = 57,471.16

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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.