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Finding the Fourth Proportional to 230,896.99, 346,321.11 and 109,288.40

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Solution

The fourth proportional to 230,896.99, 346,321.11 and 109,288.40 is: 163,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,896.99 : 346,321.11 = 109,288.40 : x
  2. Step 2: Convert to fraction form
    230,896.99/346,321.11 = 109,288.40/x
  3. Step 3: Cross multiply
    230,896.99x = 346,321.11 × 109,288.40
  4. Step 4: Simplify right side
    230,896.99x = 37,848,879,998.12
  5. Step 5: Solve for x
    x = 37,848,879,998.12/230,896.99
  6. Step 6: Final answer
    x = 163,921.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.