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Finding the Fourth Proportional to 133,905.34, 200,869.80 and 49,666.43

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Solution

The fourth proportional to 133,905.34, 200,869.80 and 49,666.43 is: 74,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,905.34 : 200,869.80 = 49,666.43 : x
  2. Step 2: Convert to fraction form
    133,905.34/200,869.80 = 49,666.43/x
  3. Step 3: Cross multiply
    133,905.34x = 200,869.80 × 49,666.43
  4. Step 4: Simplify right side
    133,905.34x = 9,976,485,469.01
  5. Step 5: Solve for x
    x = 9,976,485,469.01/133,905.34
  6. Step 6: Final answer
    x = 74,504.02

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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.