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Finding the Fourth Proportional to 203,199.98, 304,509.56 and 114,266.84

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Solution

The fourth proportional to 203,199.98, 304,509.56 and 114,266.84 is: 171,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,199.98 : 304,509.56 = 114,266.84 : x
  2. Step 2: Convert to fraction form
    203,199.98/304,509.56 = 114,266.84/x
  3. Step 3: Cross multiply
    203,199.98x = 304,509.56 × 114,266.84
  4. Step 4: Simplify right side
    203,199.98x = 34,795,345,170.99
  5. Step 5: Solve for x
    x = 34,795,345,170.99/203,199.98
  6. Step 6: Final answer
    x = 171,236.95

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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.