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Finding the Fourth Proportional to 263,535.98, 363,675.24 and 142,676.28

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Solution

The fourth proportional to 263,535.98, 363,675.24 and 142,676.28 is: 196,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,535.98 : 363,675.24 = 142,676.28 : x
  2. Step 2: Convert to fraction form
    263,535.98/363,675.24 = 142,676.28/x
  3. Step 3: Cross multiply
    263,535.98x = 363,675.24 × 142,676.28
  4. Step 4: Simplify right side
    263,535.98x = 51,887,830,371.31
  5. Step 5: Solve for x
    x = 51,887,830,371.31/263,535.98
  6. Step 6: Final answer
    x = 196,890.88

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