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Finding the Fourth Proportional to 133,824.66, 200,562 and 54,846.42

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Solution

The fourth proportional to 133,824.66, 200,562 and 54,846.42 is: 82,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824.66 : 200,562 = 54,846.42 : x
  2. Step 2: Convert to fraction form
    133,824.66/200,562 = 54,846.42/x
  3. Step 3: Cross multiply
    133,824.66x = 200,562 × 54,846.42
  4. Step 4: Simplify right side
    133,824.66x = 11,000,107,688.04
  5. Step 5: Solve for x
    x = 11,000,107,688.04/133,824.66
  6. Step 6: Final answer
    x = 82,197.91

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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.