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Finding the Fourth Proportional to 150,172.24, 207,234.84 and 83,104.24

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Solution

The fourth proportional to 150,172.24, 207,234.84 and 83,104.24 is: 114,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,172.24 : 207,234.84 = 83,104.24 : x
  2. Step 2: Convert to fraction form
    150,172.24/207,234.84 = 83,104.24/x
  3. Step 3: Cross multiply
    150,172.24x = 207,234.84 × 83,104.24
  4. Step 4: Simplify right side
    150,172.24x = 17,222,093,879.72
  5. Step 5: Solve for x
    x = 17,222,093,879.72/150,172.24
  6. Step 6: Final answer
    x = 114,682.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.