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Finding the Fourth Proportional to 200,196.96, 276,271.84 and 109,552.95

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Solution

The fourth proportional to 200,196.96, 276,271.84 and 109,552.95 is: 151,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,196.96 : 276,271.84 = 109,552.95 : x
  2. Step 2: Convert to fraction form
    200,196.96/276,271.84 = 109,552.95/x
  3. Step 3: Cross multiply
    200,196.96x = 276,271.84 × 109,552.95
  4. Step 4: Simplify right side
    200,196.96x = 30,266,393,817.62
  5. Step 5: Solve for x
    x = 30,266,393,817.62/200,196.96
  6. Step 6: Final answer
    x = 151,183.08

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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.