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Finding the Fourth Proportional to 114,063.20, 170,770.80 and 107,856.80

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Solution

The fourth proportional to 114,063.20, 170,770.80 and 107,856.80 is: 161,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,063.20 : 170,770.80 = 107,856.80 : x
  2. Step 2: Convert to fraction form
    114,063.20/170,770.80 = 107,856.80/x
  3. Step 3: Cross multiply
    114,063.20x = 170,770.80 × 107,856.80
  4. Step 4: Simplify right side
    114,063.20x = 18,418,792,021.44
  5. Step 5: Solve for x
    x = 18,418,792,021.44/114,063.20
  6. Step 6: Final answer
    x = 161,478.83

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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.