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Finding the Fourth Proportional to 227,413.12, 313,704.12 and 159,531.16

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Solution

The fourth proportional to 227,413.12, 313,704.12 and 159,531.16 is: 220,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,413.12 : 313,704.12 = 159,531.16 : x
  2. Step 2: Convert to fraction form
    227,413.12/313,704.12 = 159,531.16/x
  3. Step 3: Cross multiply
    227,413.12x = 313,704.12 × 159,531.16
  4. Step 4: Simplify right side
    227,413.12x = 50,045,582,160.38
  5. Step 5: Solve for x
    x = 50,045,582,160.38/227,413.12
  6. Step 6: Final answer
    x = 220,064.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.