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Finding the Fourth Proportional to 203,525.28, 304,892.64 and 114,507.36

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Solution

The fourth proportional to 203,525.28, 304,892.64 and 114,507.36 is: 171,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,525.28 : 304,892.64 = 114,507.36 : x
  2. Step 2: Convert to fraction form
    203,525.28/304,892.64 = 114,507.36/x
  3. Step 3: Cross multiply
    203,525.28x = 304,892.64 × 114,507.36
  4. Step 4: Simplify right side
    203,525.28x = 34,912,451,289.83
  5. Step 5: Solve for x
    x = 34,912,451,289.83/203,525.28
  6. Step 6: Final answer
    x = 171,538.65

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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.