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Finding the Fourth Proportional to 200,328.50, 276,453.36 and 109,684.48

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Solution

The fourth proportional to 200,328.50, 276,453.36 and 109,684.48 is: 151,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,328.50 : 276,453.36 = 109,684.48 : x
  2. Step 2: Convert to fraction form
    200,328.50/276,453.36 = 109,684.48/x
  3. Step 3: Cross multiply
    200,328.50x = 276,453.36 × 109,684.48
  4. Step 4: Simplify right side
    200,328.50x = 30,322,643,035.85
  5. Step 5: Solve for x
    x = 30,322,643,035.85/200,328.50
  6. Step 6: Final answer
    x = 151,364.60

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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.