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Finding the Fourth Proportional to 200,617.44, 276,850.32 and 109,978.44

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Solution

The fourth proportional to 200,617.44, 276,850.32 and 109,978.44 is: 151,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,617.44 : 276,850.32 = 109,978.44 : x
  2. Step 2: Convert to fraction form
    200,617.44/276,850.32 = 109,978.44/x
  3. Step 3: Cross multiply
    200,617.44x = 276,850.32 × 109,978.44
  4. Step 4: Simplify right side
    200,617.44x = 30,447,566,307.10
  5. Step 5: Solve for x
    x = 30,447,566,307.10/200,617.44
  6. Step 6: Final answer
    x = 151,769.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.