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Finding the Fourth Proportional to 308,906.97, 463,398.62 and 109,186.17

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Solution

The fourth proportional to 308,906.97, 463,398.62 and 109,186.17 is: 163,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,906.97 : 463,398.62 = 109,186.17 : x
  2. Step 2: Convert to fraction form
    308,906.97/463,398.62 = 109,186.17/x
  3. Step 3: Cross multiply
    308,906.97x = 463,398.62 × 109,186.17
  4. Step 4: Simplify right side
    308,906.97x = 50,596,719,955.15
  5. Step 5: Solve for x
    x = 50,596,719,955.15/308,906.97
  6. Step 6: Final answer
    x = 163,792.74

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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.