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Finding the Fourth Proportional to 162,942.30, 244,413.45 and 100,647.90

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Solution

The fourth proportional to 162,942.30, 244,413.45 and 100,647.90 is: 150,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,942.30 : 244,413.45 = 100,647.90 : x
  2. Step 2: Convert to fraction form
    162,942.30/244,413.45 = 100,647.90/x
  3. Step 3: Cross multiply
    162,942.30x = 244,413.45 × 100,647.90
  4. Step 4: Simplify right side
    162,942.30x = 24,599,700,474.26
  5. Step 5: Solve for x
    x = 24,599,700,474.26/162,942.30
  6. Step 6: Final answer
    x = 150,971.85

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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.