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Finding the Fourth Proportional to 196,147.49, 294,221.24 and 55,902.47

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Solution

The fourth proportional to 196,147.49, 294,221.24 and 55,902.47 is: 83,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,147.49 : 294,221.24 = 55,902.47 : x
  2. Step 2: Convert to fraction form
    196,147.49/294,221.24 = 55,902.47/x
  3. Step 3: Cross multiply
    196,147.49x = 294,221.24 × 55,902.47
  4. Step 4: Simplify right side
    196,147.49x = 16,447,694,042.46
  5. Step 5: Solve for x
    x = 16,447,694,042.46/196,147.49
  6. Step 6: Final answer
    x = 83,853.71

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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.