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Finding the Fourth Proportional to 196,022.50, 294,033.75 and 85,214.50

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Solution

The fourth proportional to 196,022.50, 294,033.75 and 85,214.50 is: 127,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,022.50 : 294,033.75 = 85,214.50 : x
  2. Step 2: Convert to fraction form
    196,022.50/294,033.75 = 85,214.50/x
  3. Step 3: Cross multiply
    196,022.50x = 294,033.75 × 85,214.50
  4. Step 4: Simplify right side
    196,022.50x = 25,055,938,989.38
  5. Step 5: Solve for x
    x = 25,055,938,989.38/196,022.50
  6. Step 6: Final answer
    x = 127,821.75

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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.