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Finding the Fourth Proportional to 200,268.60, 300,305.70 and 111,427.80

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Solution

The fourth proportional to 200,268.60, 300,305.70 and 111,427.80 is: 167,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,268.60 : 300,305.70 = 111,427.80 : x
  2. Step 2: Convert to fraction form
    200,268.60/300,305.70 = 111,427.80/x
  3. Step 3: Cross multiply
    200,268.60x = 300,305.70 × 111,427.80
  4. Step 4: Simplify right side
    200,268.60x = 33,462,403,478.46
  5. Step 5: Solve for x
    x = 33,462,403,478.46/200,268.60
  6. Step 6: Final answer
    x = 167,087.62

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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.