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Finding the Fourth Proportional to 222,413.14, 306,934.36 and 121,811.14

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Solution

The fourth proportional to 222,413.14, 306,934.36 and 121,811.14 is: 168,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,413.14 : 306,934.36 = 121,811.14 : x
  2. Step 2: Convert to fraction form
    222,413.14/306,934.36 = 121,811.14/x
  3. Step 3: Cross multiply
    222,413.14x = 306,934.36 × 121,811.14
  4. Step 4: Simplify right side
    222,413.14x = 37,388,025,061.10
  5. Step 5: Solve for x
    x = 37,388,025,061.10/222,413.14
  6. Step 6: Final answer
    x = 168,101.69

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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.