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Finding the Fourth Proportional to 263,396.99, 363,487.83 and 142,538.27

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Solution

The fourth proportional to 263,396.99, 363,487.83 and 142,538.27 is: 196,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,396.99 : 363,487.83 = 142,538.27 : x
  2. Step 2: Convert to fraction form
    263,396.99/363,487.83 = 142,538.27/x
  3. Step 3: Cross multiply
    263,396.99x = 363,487.83 × 142,538.27
  4. Step 4: Simplify right side
    263,396.99x = 51,810,926,454.25
  5. Step 5: Solve for x
    x = 51,810,926,454.25/263,396.99
  6. Step 6: Final answer
    x = 196,702.80

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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.