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Finding the Fourth Proportional to 196,229.34, 294,387.75 and 71,570.34

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Solution

The fourth proportional to 196,229.34, 294,387.75 and 71,570.34 is: 107,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,229.34 : 294,387.75 = 71,570.34 : x
  2. Step 2: Convert to fraction form
    196,229.34/294,387.75 = 71,570.34/x
  3. Step 3: Cross multiply
    196,229.34x = 294,387.75 × 71,570.34
  4. Step 4: Simplify right side
    196,229.34x = 21,069,431,359.34
  5. Step 5: Solve for x
    x = 21,069,431,359.34/196,229.34
  6. Step 6: Final answer
    x = 107,371.46

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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.