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Finding the Fourth Proportional to 202,190.22, 303,324.21 and 77,521.50

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Solution

The fourth proportional to 202,190.22, 303,324.21 and 77,521.50 is: 116,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,190.22 : 303,324.21 = 77,521.50 : x
  2. Step 2: Convert to fraction form
    202,190.22/303,324.21 = 77,521.50/x
  3. Step 3: Cross multiply
    202,190.22x = 303,324.21 × 77,521.50
  4. Step 4: Simplify right side
    202,190.22x = 23,514,147,745.52
  5. Step 5: Solve for x
    x = 23,514,147,745.52/202,190.22
  6. Step 6: Final answer
    x = 116,297.16

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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.