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Finding the Fourth Proportional to 150,234.26, 207,323.26 and 83,166.26

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Solution

The fourth proportional to 150,234.26, 207,323.26 and 83,166.26 is: 114,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,234.26 : 207,323.26 = 83,166.26 : x
  2. Step 2: Convert to fraction form
    150,234.26/207,323.26 = 83,166.26/x
  3. Step 3: Cross multiply
    150,234.26x = 207,323.26 × 83,166.26
  4. Step 4: Simplify right side
    150,234.26x = 17,242,300,145.21
  5. Step 5: Solve for x
    x = 17,242,300,145.21/150,234.26
  6. Step 6: Final answer
    x = 114,769.43

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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.