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Finding the Fourth Proportional to 263,027.54, 362,890.92 and 148,291.82

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Solution

The fourth proportional to 263,027.54, 362,890.92 and 148,291.82 is: 204,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,027.54 : 362,890.92 = 148,291.82 : x
  2. Step 2: Convert to fraction form
    263,027.54/362,890.92 = 148,291.82/x
  3. Step 3: Cross multiply
    263,027.54x = 362,890.92 × 148,291.82
  4. Step 4: Simplify right side
    263,027.54x = 53,813,754,988.27
  5. Step 5: Solve for x
    x = 53,813,754,988.27/263,027.54
  6. Step 6: Final answer
    x = 204,593.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.