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Finding the Fourth Proportional to 150,924.68, 208,265.99 and 82,940.19

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Solution

The fourth proportional to 150,924.68, 208,265.99 and 82,940.19 is: 114,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,924.68 : 208,265.99 = 82,940.19 : x
  2. Step 2: Convert to fraction form
    150,924.68/208,265.99 = 82,940.19/x
  3. Step 3: Cross multiply
    150,924.68x = 208,265.99 × 82,940.19
  4. Step 4: Simplify right side
    150,924.68x = 17,273,620,781.14
  5. Step 5: Solve for x
    x = 17,273,620,781.14/150,924.68
  6. Step 6: Final answer
    x = 114,451.93

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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.