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Finding the Fourth Proportional to 345,141.76, 476,308.22 and 192,187.84

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Solution

The fourth proportional to 345,141.76, 476,308.22 and 192,187.84 is: 265,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,141.76 : 476,308.22 = 192,187.84 : x
  2. Step 2: Convert to fraction form
    345,141.76/476,308.22 = 192,187.84/x
  3. Step 3: Cross multiply
    345,141.76x = 476,308.22 × 192,187.84
  4. Step 4: Simplify right side
    345,141.76x = 91,540,647,976.04
  5. Step 5: Solve for x
    x = 91,540,647,976.04/345,141.76
  6. Step 6: Final answer
    x = 265,226.23

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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.