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Finding the Fourth Proportional to 196,084.98, 294,178.50 and 55,854.54

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Solution

The fourth proportional to 196,084.98, 294,178.50 and 55,854.54 is: 83,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,084.98 : 294,178.50 = 55,854.54 : x
  2. Step 2: Convert to fraction form
    196,084.98/294,178.50 = 55,854.54/x
  3. Step 3: Cross multiply
    196,084.98x = 294,178.50 × 55,854.54
  4. Step 4: Simplify right side
    196,084.98x = 16,431,204,795.39
  5. Step 5: Solve for x
    x = 16,431,204,795.39/196,084.98
  6. Step 6: Final answer
    x = 83,796.35

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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.