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Finding the Fourth Proportional to 180,413.67, 270,591.11 and 60,523.68

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Solution

The fourth proportional to 180,413.67, 270,591.11 and 60,523.68 is: 90,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,413.67 : 270,591.11 = 60,523.68 : x
  2. Step 2: Convert to fraction form
    180,413.67/270,591.11 = 60,523.68/x
  3. Step 3: Cross multiply
    180,413.67x = 270,591.11 × 60,523.68
  4. Step 4: Simplify right side
    180,413.67x = 16,377,169,752.48
  5. Step 5: Solve for x
    x = 16,377,169,752.48/180,413.67
  6. Step 6: Final answer
    x = 90,775.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.