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Finding the Fourth Proportional to 200,213.45, 276,290.87 and 109,567.59

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Solution

The fourth proportional to 200,213.45, 276,290.87 and 109,567.59 is: 151,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,213.45 : 276,290.87 = 109,567.59 : x
  2. Step 2: Convert to fraction form
    200,213.45/276,290.87 = 109,567.59/x
  3. Step 3: Cross multiply
    200,213.45x = 276,290.87 × 109,567.59
  4. Step 4: Simplify right side
    200,213.45x = 30,272,523,180.97
  5. Step 5: Solve for x
    x = 30,272,523,180.97/200,213.45
  6. Step 6: Final answer
    x = 151,201.25

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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.