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Finding the Fourth Proportional to 194,992.52, 269,072.97 and 112,209.18

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Solution

The fourth proportional to 194,992.52, 269,072.97 and 112,209.18 is: 154,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,992.52 : 269,072.97 = 112,209.18 : x
  2. Step 2: Convert to fraction form
    194,992.52/269,072.97 = 112,209.18/x
  3. Step 3: Cross multiply
    194,992.52x = 269,072.97 × 112,209.18
  4. Step 4: Simplify right side
    194,992.52x = 30,192,457,323.86
  5. Step 5: Solve for x
    x = 30,192,457,323.86/194,992.52
  6. Step 6: Final answer
    x = 154,839.06

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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.