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Finding the Fourth Proportional to 196,522.54, 294,783.81 and 48,778.54

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Solution

The fourth proportional to 196,522.54, 294,783.81 and 48,778.54 is: 73,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,522.54 : 294,783.81 = 48,778.54 : x
  2. Step 2: Convert to fraction form
    196,522.54/294,783.81 = 48,778.54/x
  3. Step 3: Cross multiply
    196,522.54x = 294,783.81 × 48,778.54
  4. Step 4: Simplify right side
    196,522.54x = 14,379,123,867.44
  5. Step 5: Solve for x
    x = 14,379,123,867.44/196,522.54
  6. Step 6: Final answer
    x = 73,167.81

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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.