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Finding the Fourth Proportional to 204,051.96, 306,078.65 and 61,898.46

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Solution

The fourth proportional to 204,051.96, 306,078.65 and 61,898.46 is: 92,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,051.96 : 306,078.65 = 61,898.46 : x
  2. Step 2: Convert to fraction form
    204,051.96/306,078.65 = 61,898.46/x
  3. Step 3: Cross multiply
    204,051.96x = 306,078.65 × 61,898.46
  4. Step 4: Simplify right side
    204,051.96x = 18,945,796,764.39
  5. Step 5: Solve for x
    x = 18,945,796,764.39/204,051.96
  6. Step 6: Final answer
    x = 92,847.90

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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.