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Finding the Fourth Proportional to 308,907.97, 463,400.12 and 109,187.17

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Solution

The fourth proportional to 308,907.97, 463,400.12 and 109,187.17 is: 163,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,907.97 : 463,400.12 = 109,187.17 : x
  2. Step 2: Convert to fraction form
    308,907.97/463,400.12 = 109,187.17/x
  3. Step 3: Cross multiply
    308,907.97x = 463,400.12 × 109,187.17
  4. Step 4: Simplify right side
    308,907.97x = 50,597,347,680.46
  5. Step 5: Solve for x
    x = 50,597,347,680.46/308,907.97
  6. Step 6: Final answer
    x = 163,794.24

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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.