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Finding the Fourth Proportional to 196,525, 294,789.42 and 48,781

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Solution

The fourth proportional to 196,525, 294,789.42 and 48,781 is: 73,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,525 : 294,789.42 = 48,781 : x
  2. Step 2: Convert to fraction form
    196,525/294,789.42 = 48,781/x
  3. Step 3: Cross multiply
    196,525x = 294,789.42 × 48,781
  4. Step 4: Simplify right side
    196,525x = 14,380,122,697.02
  5. Step 5: Solve for x
    x = 14,380,122,697.02/196,525
  6. Step 6: Final answer
    x = 73,171.98

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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.