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Finding the Fourth Proportional to 196,424.80, 294,199.80 and 161,432.80

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Solution

The fourth proportional to 196,424.80, 294,199.80 and 161,432.80 is: 241,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,424.80 : 294,199.80 = 161,432.80 : x
  2. Step 2: Convert to fraction form
    196,424.80/294,199.80 = 161,432.80/x
  3. Step 3: Cross multiply
    196,424.80x = 294,199.80 × 161,432.80
  4. Step 4: Simplify right side
    196,424.80x = 47,493,497,473.44
  5. Step 5: Solve for x
    x = 47,493,497,473.44/196,424.80
  6. Step 6: Final answer
    x = 241,789.72

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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.