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Finding the Fourth Proportional to 133,505.40, 200,331.81 and 54,674.85

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Solution

The fourth proportional to 133,505.40, 200,331.81 and 54,674.85 is: 82,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,505.40 : 200,331.81 = 54,674.85 : x
  2. Step 2: Convert to fraction form
    133,505.40/200,331.81 = 54,674.85/x
  3. Step 3: Cross multiply
    133,505.40x = 200,331.81 × 54,674.85
  4. Step 4: Simplify right side
    133,505.40x = 10,953,111,661.98
  5. Step 5: Solve for x
    x = 10,953,111,661.98/133,505.40
  6. Step 6: Final answer
    x = 82,042.46

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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.