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Finding the Fourth Proportional to 195,757.34, 270,137.90 and 106,331.42

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Solution

The fourth proportional to 195,757.34, 270,137.90 and 106,331.42 is: 146,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,757.34 : 270,137.90 = 106,331.42 : x
  2. Step 2: Convert to fraction form
    195,757.34/270,137.90 = 106,331.42/x
  3. Step 3: Cross multiply
    195,757.34x = 270,137.90 × 106,331.42
  4. Step 4: Simplify right side
    195,757.34x = 28,724,146,502.82
  5. Step 5: Solve for x
    x = 28,724,146,502.82/195,757.34
  6. Step 6: Final answer
    x = 146,733.43

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