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Finding the Fourth Proportional to 262,782.63, 362,640.38 and 149,605.38

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Solution

The fourth proportional to 262,782.63, 362,640.38 and 149,605.38 is: 206,455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,782.63 : 362,640.38 = 149,605.38 : x
  2. Step 2: Convert to fraction form
    262,782.63/362,640.38 = 149,605.38/x
  3. Step 3: Cross multiply
    262,782.63x = 362,640.38 × 149,605.38
  4. Step 4: Simplify right side
    262,782.63x = 54,252,951,105.22
  5. Step 5: Solve for x
    x = 54,252,951,105.22/262,782.63
  6. Step 6: Final answer
    x = 206,455.62

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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.