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Finding the Fourth Proportional to 200,102.98, 276,131.81 and 109,441.30

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Solution

The fourth proportional to 200,102.98, 276,131.81 and 109,441.30 is: 151,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,102.98 : 276,131.81 = 109,441.30 : x
  2. Step 2: Convert to fraction form
    200,102.98/276,131.81 = 109,441.30/x
  3. Step 3: Cross multiply
    200,102.98x = 276,131.81 × 109,441.30
  4. Step 4: Simplify right side
    200,102.98x = 30,220,222,329.89
  5. Step 5: Solve for x
    x = 30,220,222,329.89/200,102.98
  6. Step 6: Final answer
    x = 151,023.35

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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.