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Finding the Fourth Proportional to 195,466.82, 269,744.73 and 106,042.82

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Solution

The fourth proportional to 195,466.82, 269,744.73 and 106,042.82 is: 146,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,466.82 : 269,744.73 = 106,042.82 : x
  2. Step 2: Convert to fraction form
    195,466.82/269,744.73 = 106,042.82/x
  3. Step 3: Cross multiply
    195,466.82x = 269,744.73 × 106,042.82
  4. Step 4: Simplify right side
    195,466.82x = 28,604,491,849.34
  5. Step 5: Solve for x
    x = 28,604,491,849.34/195,466.82
  6. Step 6: Final answer
    x = 146,339.37

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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.