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Finding the Fourth Proportional to 157,413.35, 217,224.10 and 85,791.83

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Solution

The fourth proportional to 157,413.35, 217,224.10 and 85,791.83 is: 118,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,413.35 : 217,224.10 = 85,791.83 : x
  2. Step 2: Convert to fraction form
    157,413.35/217,224.10 = 85,791.83/x
  3. Step 3: Cross multiply
    157,413.35x = 217,224.10 × 85,791.83
  4. Step 4: Simplify right side
    157,413.35x = 18,636,052,630.14
  5. Step 5: Solve for x
    x = 18,636,052,630.14/157,413.35
  6. Step 6: Final answer
    x = 118,389.28

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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.