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Finding the Fourth Proportional to 196,270.50, 294,410.61 and 71,611.50

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Solution

The fourth proportional to 196,270.50, 294,410.61 and 71,611.50 is: 107,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,270.50 : 294,410.61 = 71,611.50 : x
  2. Step 2: Convert to fraction form
    196,270.50/294,410.61 = 71,611.50/x
  3. Step 3: Cross multiply
    196,270.50x = 294,410.61 × 71,611.50
  4. Step 4: Simplify right side
    196,270.50x = 21,083,185,398.02
  5. Step 5: Solve for x
    x = 21,083,185,398.02/196,270.50
  6. Step 6: Final answer
    x = 107,419.02

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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.