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Finding the Fourth Proportional to 196,976.34, 295,556.78 and 97,082.08

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Solution

The fourth proportional to 196,976.34, 295,556.78 and 97,082.08 is: 145,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,976.34 : 295,556.78 = 97,082.08 : x
  2. Step 2: Convert to fraction form
    196,976.34/295,556.78 = 97,082.08/x
  3. Step 3: Cross multiply
    196,976.34x = 295,556.78 × 97,082.08
  4. Step 4: Simplify right side
    196,976.34x = 28,693,266,960.50
  5. Step 5: Solve for x
    x = 28,693,266,960.50/196,976.34
  6. Step 6: Final answer
    x = 145,668.60

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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.