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Finding the Fourth Proportional to 263,532.90, 363,675.54 and 142,674.21

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Solution

The fourth proportional to 263,532.90, 363,675.54 and 142,674.21 is: 196,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,532.90 : 363,675.54 = 142,674.21 : x
  2. Step 2: Convert to fraction form
    263,532.90/363,675.54 = 142,674.21/x
  3. Step 3: Cross multiply
    263,532.90x = 363,675.54 × 142,674.21
  4. Step 4: Simplify right side
    263,532.90x = 51,887,120,365.82
  5. Step 5: Solve for x
    x = 51,887,120,365.82/263,532.90
  6. Step 6: Final answer
    x = 196,890.48

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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.