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Finding the Fourth Proportional to 196,234.95, 270,847.19 and 150,417.30

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Solution

The fourth proportional to 196,234.95, 270,847.19 and 150,417.30 is: 207,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,234.95 : 270,847.19 = 150,417.30 : x
  2. Step 2: Convert to fraction form
    196,234.95/270,847.19 = 150,417.30/x
  3. Step 3: Cross multiply
    196,234.95x = 270,847.19 × 150,417.30
  4. Step 4: Simplify right side
    196,234.95x = 40,740,104,424.11
  5. Step 5: Solve for x
    x = 40,740,104,424.11/196,234.95
  6. Step 6: Final answer
    x = 207,608.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.