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Finding the Fourth Proportional to 133,505.40, 200,226.44 and 49,219.76

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Solution

The fourth proportional to 133,505.40, 200,226.44 and 49,219.76 is: 73,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,505.40 : 200,226.44 = 49,219.76 : x
  2. Step 2: Convert to fraction form
    133,505.40/200,226.44 = 49,219.76/x
  3. Step 3: Cross multiply
    133,505.40x = 200,226.44 × 49,219.76
  4. Step 4: Simplify right side
    133,505.40x = 9,855,097,322.45
  5. Step 5: Solve for x
    x = 9,855,097,322.45/133,505.40
  6. Step 6: Final answer
    x = 73,817.97

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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.