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Finding the Fourth Proportional to 196,958.84, 295,413.63 and 54,814.77

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Solution

The fourth proportional to 196,958.84, 295,413.63 and 54,814.77 is: 82,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,958.84 : 295,413.63 = 54,814.77 : x
  2. Step 2: Convert to fraction form
    196,958.84/295,413.63 = 54,814.77/x
  3. Step 3: Cross multiply
    196,958.84x = 295,413.63 × 54,814.77
  4. Step 4: Simplify right side
    196,958.84x = 16,193,030,183.32
  5. Step 5: Solve for x
    x = 16,193,030,183.32/196,958.84
  6. Step 6: Final answer
    x = 82,215.30

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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.