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Finding the Fourth Proportional to 150,998.20, 208,372.20 and 83,014.68

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Solution

The fourth proportional to 150,998.20, 208,372.20 and 83,014.68 is: 114,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,998.20 : 208,372.20 = 83,014.68 : x
  2. Step 2: Convert to fraction form
    150,998.20/208,372.20 = 83,014.68/x
  3. Step 3: Cross multiply
    150,998.20x = 208,372.20 × 83,014.68
  4. Step 4: Simplify right side
    150,998.20x = 17,297,950,462.04
  5. Step 5: Solve for x
    x = 17,297,950,462.04/150,998.20
  6. Step 6: Final answer
    x = 114,557.33

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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.