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Finding the Fourth Proportional to 188,404.72, 283,863.76 and 170,413.74

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Solution

The fourth proportional to 188,404.72, 283,863.76 and 170,413.74 is: 256,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,404.72 : 283,863.76 = 170,413.74 : x
  2. Step 2: Convert to fraction form
    188,404.72/283,863.76 = 170,413.74/x
  3. Step 3: Cross multiply
    188,404.72x = 283,863.76 × 170,413.74
  4. Step 4: Simplify right side
    188,404.72x = 48,374,284,566.03
  5. Step 5: Solve for x
    x = 48,374,284,566.03/188,404.72
  6. Step 6: Final answer
    x = 256,757.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.