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Finding the Fourth Proportional to 196,815.40, 295,266.30 and 97,023.40

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Solution

The fourth proportional to 196,815.40, 295,266.30 and 97,023.40 is: 145,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,815.40 : 295,266.30 = 97,023.40 : x
  2. Step 2: Convert to fraction form
    196,815.40/295,266.30 = 97,023.40/x
  3. Step 3: Cross multiply
    196,815.40x = 295,266.30 × 97,023.40
  4. Step 4: Simplify right side
    196,815.40x = 28,647,740,331.42
  5. Step 5: Solve for x
    x = 28,647,740,331.42/196,815.40
  6. Step 6: Final answer
    x = 145,556.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.