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Finding the Fourth Proportional to 196,533.52, 270,941.48 and 166,197

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Solution

The fourth proportional to 196,533.52, 270,941.48 and 166,197 is: 229,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,533.52 : 270,941.48 = 166,197 : x
  2. Step 2: Convert to fraction form
    196,533.52/270,941.48 = 166,197/x
  3. Step 3: Cross multiply
    196,533.52x = 270,941.48 × 166,197
  4. Step 4: Simplify right side
    196,533.52x = 45,029,661,151.56
  5. Step 5: Solve for x
    x = 45,029,661,151.56/196,533.52
  6. Step 6: Final answer
    x = 229,119.50

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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.