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Finding the Fourth Proportional to 135,686.81, 203,548.23 and 50,285.84

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Solution

The fourth proportional to 135,686.81, 203,548.23 and 50,285.84 is: 75,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,686.81 : 203,548.23 = 50,285.84 : x
  2. Step 2: Convert to fraction form
    135,686.81/203,548.23 = 50,285.84/x
  3. Step 3: Cross multiply
    135,686.81x = 203,548.23 × 50,285.84
  4. Step 4: Simplify right side
    135,686.81x = 10,235,593,726.06
  5. Step 5: Solve for x
    x = 10,235,593,726.06/135,686.81
  6. Step 6: Final answer
    x = 75,435.44

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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.