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Finding the Fourth Proportional to 101,149.14, 151,743.24 and 38,814.78

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Solution

The fourth proportional to 101,149.14, 151,743.24 and 38,814.78 is: 58,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,149.14 : 151,743.24 = 38,814.78 : x
  2. Step 2: Convert to fraction form
    101,149.14/151,743.24 = 38,814.78/x
  3. Step 3: Cross multiply
    101,149.14x = 151,743.24 × 38,814.78
  4. Step 4: Simplify right side
    101,149.14x = 5,889,880,477.09
  5. Step 5: Solve for x
    x = 5,889,880,477.09/101,149.14
  6. Step 6: Final answer
    x = 58,229.66

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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.