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Finding the Fourth Proportional to 194,965.09, 269,042.19 and 108,907.00

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Solution

The fourth proportional to 194,965.09, 269,042.19 and 108,907.00 is: 150,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,965.09 : 269,042.19 = 108,907.00 : x
  2. Step 2: Convert to fraction form
    194,965.09/269,042.19 = 108,907.00/x
  3. Step 3: Cross multiply
    194,965.09x = 269,042.19 × 108,907.00
  4. Step 4: Simplify right side
    194,965.09x = 29,300,576,705.32
  5. Step 5: Solve for x
    x = 29,300,576,705.32/194,965.09
  6. Step 6: Final answer
    x = 150,286.27

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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.