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Finding the Fourth Proportional to 228,814.24, 315,413.63 and 160,639.96

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Solution

The fourth proportional to 228,814.24, 315,413.63 and 160,639.96 is: 221,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,814.24 : 315,413.63 = 160,639.96 : x
  2. Step 2: Convert to fraction form
    228,814.24/315,413.63 = 160,639.96/x
  3. Step 3: Cross multiply
    228,814.24x = 315,413.63 × 160,639.96
  4. Step 4: Simplify right side
    228,814.24x = 50,668,032,906.65
  5. Step 5: Solve for x
    x = 50,668,032,906.65/228,814.24
  6. Step 6: Final answer
    x = 221,437.41

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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.