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Finding the Fourth Proportional to 203,589.50, 305,384.24 and 110,277.50

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Solution

The fourth proportional to 203,589.50, 305,384.24 and 110,277.50 is: 165,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,589.50 : 305,384.24 = 110,277.50 : x
  2. Step 2: Convert to fraction form
    203,589.50/305,384.24 = 110,277.50/x
  3. Step 3: Cross multiply
    203,589.50x = 305,384.24 × 110,277.50
  4. Step 4: Simplify right side
    203,589.50x = 33,677,008,448.29
  5. Step 5: Solve for x
    x = 33,677,008,448.29/203,589.50
  6. Step 6: Final answer
    x = 165,416.24

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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.