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Finding the Fourth Proportional to 263,604.51, 363,779.24 and 144,372.51

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Solution

The fourth proportional to 263,604.51, 363,779.24 and 144,372.51 is: 199,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,604.51 : 363,779.24 = 144,372.51 : x
  2. Step 2: Convert to fraction form
    263,604.51/363,779.24 = 144,372.51/x
  3. Step 3: Cross multiply
    263,604.51x = 363,779.24 × 144,372.51
  4. Step 4: Simplify right side
    263,604.51x = 52,519,721,242.83
  5. Step 5: Solve for x
    x = 52,519,721,242.83/263,604.51
  6. Step 6: Final answer
    x = 199,236.81

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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.