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Finding the Fourth Proportional to 114,995.66, 158,674.23 and 105,694.25

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Solution

The fourth proportional to 114,995.66, 158,674.23 and 105,694.25 is: 145,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,995.66 : 158,674.23 = 105,694.25 : x
  2. Step 2: Convert to fraction form
    114,995.66/158,674.23 = 105,694.25/x
  3. Step 3: Cross multiply
    114,995.66x = 158,674.23 × 105,694.25
  4. Step 4: Simplify right side
    114,995.66x = 16,770,952,940.81
  5. Step 5: Solve for x
    x = 16,770,952,940.81/114,995.66
  6. Step 6: Final answer
    x = 145,839.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.