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Finding the Fourth Proportional to 135,015.94, 202,409.04 and 82,462.36

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Solution

The fourth proportional to 135,015.94, 202,409.04 and 82,462.36 is: 123,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,015.94 : 202,409.04 = 82,462.36 : x
  2. Step 2: Convert to fraction form
    135,015.94/202,409.04 = 82,462.36/x
  3. Step 3: Cross multiply
    135,015.94x = 202,409.04 × 82,462.36
  4. Step 4: Simplify right side
    135,015.94x = 16,691,127,123.73
  5. Step 5: Solve for x
    x = 16,691,127,123.73/135,015.94
  6. Step 6: Final answer
    x = 123,623.38

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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.