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Finding the Fourth Proportional to 196,134.70, 294,245.61 and 55,894.54

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Solution

The fourth proportional to 196,134.70, 294,245.61 and 55,894.54 is: 83,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,134.70 : 294,245.61 = 55,894.54 : x
  2. Step 2: Convert to fraction form
    196,134.70/294,245.61 = 55,894.54/x
  3. Step 3: Cross multiply
    196,134.70x = 294,245.61 × 55,894.54
  4. Step 4: Simplify right side
    196,134.70x = 16,446,723,017.97
  5. Step 5: Solve for x
    x = 16,446,723,017.97/196,134.70
  6. Step 6: Final answer
    x = 83,854.22

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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.