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Finding the Fourth Proportional to 200,546.84, 276,742.62 and 109,884.75

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Solution

The fourth proportional to 200,546.84, 276,742.62 and 109,884.75 is: 151,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,546.84 : 276,742.62 = 109,884.75 : x
  2. Step 2: Convert to fraction form
    200,546.84/276,742.62 = 109,884.75/x
  3. Step 3: Cross multiply
    200,546.84x = 276,742.62 × 109,884.75
  4. Step 4: Simplify right side
    200,546.84x = 30,409,793,613.05
  5. Step 5: Solve for x
    x = 30,409,793,613.05/200,546.84
  6. Step 6: Final answer
    x = 151,634.37

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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.