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Finding the Fourth Proportional to 226,790.41, 340,262.50 and 100,413.25

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Solution

The fourth proportional to 226,790.41, 340,262.50 and 100,413.25 is: 150,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,790.41 : 340,262.50 = 100,413.25 : x
  2. Step 2: Convert to fraction form
    226,790.41/340,262.50 = 100,413.25/x
  3. Step 3: Cross multiply
    226,790.41x = 340,262.50 × 100,413.25
  4. Step 4: Simplify right side
    226,790.41x = 34,166,863,478.13
  5. Step 5: Solve for x
    x = 34,166,863,478.13/226,790.41
  6. Step 6: Final answer
    x = 150,653.92

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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.