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Finding the Fourth Proportional to 190,266.50, 285,413.09 and 76,414.32

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Solution

The fourth proportional to 190,266.50, 285,413.09 and 76,414.32 is: 114,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,266.50 : 285,413.09 = 76,414.32 : x
  2. Step 2: Convert to fraction form
    190,266.50/285,413.09 = 76,414.32/x
  3. Step 3: Cross multiply
    190,266.50x = 285,413.09 × 76,414.32
  4. Step 4: Simplify right side
    190,266.50x = 21,809,646,809.38
  5. Step 5: Solve for x
    x = 21,809,646,809.38/190,266.50
  6. Step 6: Final answer
    x = 114,626.83

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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.