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Finding the Fourth Proportional to 162,413.92, 243,647.16 and 50,067.87

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Solution

The fourth proportional to 162,413.92, 243,647.16 and 50,067.87 is: 75,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,413.92 : 243,647.16 = 50,067.87 : x
  2. Step 2: Convert to fraction form
    162,413.92/243,647.16 = 50,067.87/x
  3. Step 3: Cross multiply
    162,413.92x = 243,647.16 × 50,067.87
  4. Step 4: Simplify right side
    162,413.92x = 12,198,894,332.75
  5. Step 5: Solve for x
    x = 12,198,894,332.75/162,413.92
  6. Step 6: Final answer
    x = 75,109.91

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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.