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Finding the Fourth Proportional to 263,453.76, 363,532.32 and 150,269.76

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Solution

The fourth proportional to 263,453.76, 363,532.32 and 150,269.76 is: 207,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,453.76 : 363,532.32 = 150,269.76 : x
  2. Step 2: Convert to fraction form
    263,453.76/363,532.32 = 150,269.76/x
  3. Step 3: Cross multiply
    263,453.76x = 363,532.32 × 150,269.76
  4. Step 4: Simplify right side
    263,453.76x = 54,627,914,478.64
  5. Step 5: Solve for x
    x = 54,627,914,478.64/263,453.76
  6. Step 6: Final answer
    x = 207,352.95

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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.