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Finding the Fourth Proportional to 105,413.42, 158,143.44 and 49,222.90

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Solution

The fourth proportional to 105,413.42, 158,143.44 and 49,222.90 is: 73,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,413.42 : 158,143.44 = 49,222.90 : x
  2. Step 2: Convert to fraction form
    105,413.42/158,143.44 = 49,222.90/x
  3. Step 3: Cross multiply
    105,413.42x = 158,143.44 × 49,222.90
  4. Step 4: Simplify right side
    105,413.42x = 7,784,278,732.78
  5. Step 5: Solve for x
    x = 7,784,278,732.78/105,413.42
  6. Step 6: Final answer
    x = 73,845.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.