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Finding the Fourth Proportional to 196,149.49, 294,224.24 and 55,904.47

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Solution

The fourth proportional to 196,149.49, 294,224.24 and 55,904.47 is: 83,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,149.49 : 294,224.24 = 55,904.47 : x
  2. Step 2: Convert to fraction form
    196,149.49/294,224.24 = 55,904.47/x
  3. Step 3: Cross multiply
    196,149.49x = 294,224.24 × 55,904.47
  4. Step 4: Simplify right side
    196,149.49x = 16,448,450,198.35
  5. Step 5: Solve for x
    x = 16,448,450,198.35/196,149.49
  6. Step 6: Final answer
    x = 83,856.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.