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Finding the Fourth Proportional to 263,999.96, 364,317.71 and 149,301.12

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Solution

The fourth proportional to 263,999.96, 364,317.71 and 149,301.12 is: 206,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,999.96 : 364,317.71 = 149,301.12 : x
  2. Step 2: Convert to fraction form
    263,999.96/364,317.71 = 149,301.12/x
  3. Step 3: Cross multiply
    263,999.96x = 364,317.71 × 149,301.12
  4. Step 4: Simplify right side
    263,999.96x = 54,393,042,676.38
  5. Step 5: Solve for x
    x = 54,393,042,676.38/263,999.96
  6. Step 6: Final answer
    x = 206,034.29

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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.