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Finding the Fourth Proportional to 204,769.50, 307,154.25 and 57,025.50

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Solution

The fourth proportional to 204,769.50, 307,154.25 and 57,025.50 is: 85,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,769.50 : 307,154.25 = 57,025.50 : x
  2. Step 2: Convert to fraction form
    204,769.50/307,154.25 = 57,025.50/x
  3. Step 3: Cross multiply
    204,769.50x = 307,154.25 × 57,025.50
  4. Step 4: Simplify right side
    204,769.50x = 17,515,624,683.38
  5. Step 5: Solve for x
    x = 17,515,624,683.38/204,769.50
  6. Step 6: Final answer
    x = 85,538.25

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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.