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Finding the Fourth Proportional to 218,413.15, 327,490.44 and 85,137.82

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Solution

The fourth proportional to 218,413.15, 327,490.44 and 85,137.82 is: 127,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,413.15 : 327,490.44 = 85,137.82 : x
  2. Step 2: Convert to fraction form
    218,413.15/327,490.44 = 85,137.82/x
  3. Step 3: Cross multiply
    218,413.15x = 327,490.44 × 85,137.82
  4. Step 4: Simplify right side
    218,413.15x = 27,881,822,132.44
  5. Step 5: Solve for x
    x = 27,881,822,132.44/218,413.15
  6. Step 6: Final answer
    x = 127,656.33

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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.