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Finding the Fourth Proportional to 107,166.62, 160,734.13 and 28,286.39

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Solution

The fourth proportional to 107,166.62, 160,734.13 and 28,286.39 is: 42,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,166.62 : 160,734.13 = 28,286.39 : x
  2. Step 2: Convert to fraction form
    107,166.62/160,734.13 = 28,286.39/x
  3. Step 3: Cross multiply
    107,166.62x = 160,734.13 × 28,286.39
  4. Step 4: Simplify right side
    107,166.62x = 4,546,587,413.10
  5. Step 5: Solve for x
    x = 4,546,587,413.10/107,166.62
  6. Step 6: Final answer
    x = 42,425.41

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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.