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Finding the Fourth Proportional to 152,867, 210,976.44 and 85,799

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Solution

The fourth proportional to 152,867, 210,976.44 and 85,799 is: 118,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,867 : 210,976.44 = 85,799 : x
  2. Step 2: Convert to fraction form
    152,867/210,976.44 = 85,799/x
  3. Step 3: Cross multiply
    152,867x = 210,976.44 × 85,799
  4. Step 4: Simplify right side
    152,867x = 18,101,567,575.56
  5. Step 5: Solve for x
    x = 18,101,567,575.56/152,867
  6. Step 6: Final answer
    x = 118,413.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.