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Finding the Fourth Proportional to 203,638.08, 305,558.92 and 91,398.54

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Solution

The fourth proportional to 203,638.08, 305,558.92 and 91,398.54 is: 137,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,638.08 : 305,558.92 = 91,398.54 : x
  2. Step 2: Convert to fraction form
    203,638.08/305,558.92 = 91,398.54/x
  3. Step 3: Cross multiply
    203,638.08x = 305,558.92 × 91,398.54
  4. Step 4: Simplify right side
    203,638.08x = 27,927,639,171.98
  5. Step 5: Solve for x
    x = 27,927,639,171.98/203,638.08
  6. Step 6: Final answer
    x = 137,143.50

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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.