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Finding the Fourth Proportional to 196,662.33, 294,993.66 and 84,269.64

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Solution

The fourth proportional to 196,662.33, 294,993.66 and 84,269.64 is: 126,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,662.33 : 294,993.66 = 84,269.64 : x
  2. Step 2: Convert to fraction form
    196,662.33/294,993.66 = 84,269.64/x
  3. Step 3: Cross multiply
    196,662.33x = 294,993.66 × 84,269.64
  4. Step 4: Simplify right side
    196,662.33x = 24,859,009,530.48
  5. Step 5: Solve for x
    x = 24,859,009,530.48/196,662.33
  6. Step 6: Final answer
    x = 126,404.53

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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.