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Finding the Fourth Proportional to 203,225.92, 304,847.09 and 53,481.35

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Solution

The fourth proportional to 203,225.92, 304,847.09 and 53,481.35 is: 80,224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,225.92 : 304,847.09 = 53,481.35 : x
  2. Step 2: Convert to fraction form
    203,225.92/304,847.09 = 53,481.35/x
  3. Step 3: Cross multiply
    203,225.92x = 304,847.09 × 53,481.35
  4. Step 4: Simplify right side
    203,225.92x = 16,303,633,916.77
  5. Step 5: Solve for x
    x = 16,303,633,916.77/203,225.92
  6. Step 6: Final answer
    x = 80,224.19

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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.