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Finding the Fourth Proportional to 263,154.26, 363,152.62 and 142,295.27

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Solution

The fourth proportional to 263,154.26, 363,152.62 and 142,295.27 is: 196,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,154.26 : 363,152.62 = 142,295.27 : x
  2. Step 2: Convert to fraction form
    263,154.26/363,152.62 = 142,295.27/x
  3. Step 3: Cross multiply
    263,154.26x = 363,152.62 × 142,295.27
  4. Step 4: Simplify right side
    263,154.26x = 51,674,898,476.21
  5. Step 5: Solve for x
    x = 51,674,898,476.21/263,154.26
  6. Step 6: Final answer
    x = 196,367.32

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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.