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Finding the Fourth Proportional to 170,635.82, 255,970.13 and 52,286.31

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Solution

The fourth proportional to 170,635.82, 255,970.13 and 52,286.31 is: 78,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,635.82 : 255,970.13 = 52,286.31 : x
  2. Step 2: Convert to fraction form
    170,635.82/255,970.13 = 52,286.31/x
  3. Step 3: Cross multiply
    170,635.82x = 255,970.13 × 52,286.31
  4. Step 4: Simplify right side
    170,635.82x = 13,383,733,306.49
  5. Step 5: Solve for x
    x = 13,383,733,306.49/170,635.82
  6. Step 6: Final answer
    x = 78,434.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.