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Finding the Fourth Proportional to 195,761.34, 270,143.43 and 106,335.42

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Solution

The fourth proportional to 195,761.34, 270,143.43 and 106,335.42 is: 146,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,761.34 : 270,143.43 = 106,335.42 : x
  2. Step 2: Convert to fraction form
    195,761.34/270,143.43 = 106,335.42/x
  3. Step 3: Cross multiply
    195,761.34x = 270,143.43 × 106,335.42
  4. Step 4: Simplify right side
    195,761.34x = 28,725,815,089.29
  5. Step 5: Solve for x
    x = 28,725,815,089.29/195,761.34
  6. Step 6: Final answer
    x = 146,738.96

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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.