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Finding the Fourth Proportional to 200,477.70, 300,716.55 and 100,653.30

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Solution

The fourth proportional to 200,477.70, 300,716.55 and 100,653.30 is: 150,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,477.70 : 300,716.55 = 100,653.30 : x
  2. Step 2: Convert to fraction form
    200,477.70/300,716.55 = 100,653.30/x
  3. Step 3: Cross multiply
    200,477.70x = 300,716.55 × 100,653.30
  4. Step 4: Simplify right side
    200,477.70x = 30,268,113,122.12
  5. Step 5: Solve for x
    x = 30,268,113,122.12/200,477.70
  6. Step 6: Final answer
    x = 150,979.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.