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Finding the Fourth Proportional to 196,536.54, 270,945.62 and 166,200

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Solution

The fourth proportional to 196,536.54, 270,945.62 and 166,200 is: 229,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,536.54 : 270,945.62 = 166,200 : x
  2. Step 2: Convert to fraction form
    196,536.54/270,945.62 = 166,200/x
  3. Step 3: Cross multiply
    196,536.54x = 270,945.62 × 166,200
  4. Step 4: Simplify right side
    196,536.54x = 45,031,162,044
  5. Step 5: Solve for x
    x = 45,031,162,044/196,536.54
  6. Step 6: Final answer
    x = 229,123.61

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Why These Related Problems?

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