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Finding the Fourth Proportional to 200,243.54, 300,365.31 and 50,483.25

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Solution

The fourth proportional to 200,243.54, 300,365.31 and 50,483.25 is: 75,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,243.54 : 300,365.31 = 50,483.25 : x
  2. Step 2: Convert to fraction form
    200,243.54/300,365.31 = 50,483.25/x
  3. Step 3: Cross multiply
    200,243.54x = 300,365.31 × 50,483.25
  4. Step 4: Simplify right side
    200,243.54x = 15,163,417,225.37
  5. Step 5: Solve for x
    x = 15,163,417,225.37/200,243.54
  6. Step 6: Final answer
    x = 75,724.88

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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.