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Finding the Fourth Proportional to 263,402.96, 363,494.66 and 142,544.21

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Solution

The fourth proportional to 263,402.96, 363,494.66 and 142,544.21 is: 196,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,402.96 : 363,494.66 = 142,544.21 : x
  2. Step 2: Convert to fraction form
    263,402.96/363,494.66 = 142,544.21/x
  3. Step 3: Cross multiply
    263,402.96x = 363,494.66 × 142,544.21
  4. Step 4: Simplify right side
    263,402.96x = 51,814,056,618.72
  5. Step 5: Solve for x
    x = 51,814,056,618.72/263,402.96
  6. Step 6: Final answer
    x = 196,710.23

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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.