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Finding the Fourth Proportional to 233,224.92, 350,187.30 and 133,497.72

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Solution

The fourth proportional to 233,224.92, 350,187.30 and 133,497.72 is: 200,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,224.92 : 350,187.30 = 133,497.72 : x
  2. Step 2: Convert to fraction form
    233,224.92/350,187.30 = 133,497.72/x
  3. Step 3: Cross multiply
    233,224.92x = 350,187.30 × 133,497.72
  4. Step 4: Simplify right side
    233,224.92x = 46,749,206,122.96
  5. Step 5: Solve for x
    x = 46,749,206,122.96/233,224.92
  6. Step 6: Final answer
    x = 200,446.87

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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.