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Finding the Fourth Proportional to 221,317.48, 305,413.86 and 120,716.20

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Solution

The fourth proportional to 221,317.48, 305,413.86 and 120,716.20 is: 166,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,317.48 : 305,413.86 = 120,716.20 : x
  2. Step 2: Convert to fraction form
    221,317.48/305,413.86 = 120,716.20/x
  3. Step 3: Cross multiply
    221,317.48x = 305,413.86 × 120,716.20
  4. Step 4: Simplify right side
    221,317.48x = 36,868,400,606.53
  5. Step 5: Solve for x
    x = 36,868,400,606.53/221,317.48
  6. Step 6: Final answer
    x = 166,586.03

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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.