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Finding the Fourth Proportional to 308,839.82, 463,297.19 and 109,119.33

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Solution

The fourth proportional to 308,839.82, 463,297.19 and 109,119.33 is: 163,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,839.82 : 463,297.19 = 109,119.33 : x
  2. Step 2: Convert to fraction form
    308,839.82/463,297.19 = 109,119.33/x
  3. Step 3: Cross multiply
    308,839.82x = 463,297.19 × 109,119.33
  4. Step 4: Simplify right side
    308,839.82x = 50,554,678,418.09
  5. Step 5: Solve for x
    x = 50,554,678,418.09/308,839.82
  6. Step 6: Final answer
    x = 163,692.23

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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.