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Finding the Fourth Proportional to 196,380.84, 294,588.11 and 54,226.11

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Solution

The fourth proportional to 196,380.84, 294,588.11 and 54,226.11 is: 81,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,380.84 : 294,588.11 = 54,226.11 : x
  2. Step 2: Convert to fraction form
    196,380.84/294,588.11 = 54,226.11/x
  3. Step 3: Cross multiply
    196,380.84x = 294,588.11 × 54,226.11
  4. Step 4: Simplify right side
    196,380.84x = 15,974,367,257.55
  5. Step 5: Solve for x
    x = 15,974,367,257.55/196,380.84
  6. Step 6: Final answer
    x = 81,343.82

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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.