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Finding the Fourth Proportional to 134,927, 202,400.22 and 51,821

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Solution

The fourth proportional to 134,927, 202,400.22 and 51,821 is: 77,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,927 : 202,400.22 = 51,821 : x
  2. Step 2: Convert to fraction form
    134,927/202,400.22 = 51,821/x
  3. Step 3: Cross multiply
    134,927x = 202,400.22 × 51,821
  4. Step 4: Simplify right side
    134,927x = 10,488,581,800.62
  5. Step 5: Solve for x
    x = 10,488,581,800.62/134,927
  6. Step 6: Final answer
    x = 77,735.23

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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.