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Finding the Fourth Proportional to 133,462.36, 200,243.76 and 69,380.56

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Solution

The fourth proportional to 133,462.36, 200,243.76 and 69,380.56 is: 104,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,462.36 : 200,243.76 = 69,380.56 : x
  2. Step 2: Convert to fraction form
    133,462.36/200,243.76 = 69,380.56/x
  3. Step 3: Cross multiply
    133,462.36x = 200,243.76 × 69,380.56
  4. Step 4: Simplify right side
    133,462.36x = 13,893,024,205.31
  5. Step 5: Solve for x
    x = 13,893,024,205.31/133,462.36
  6. Step 6: Final answer
    x = 104,096.95

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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.