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Finding the Fourth Proportional to 196,234.60, 294,351.90 and 140,938.60

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Solution

The fourth proportional to 196,234.60, 294,351.90 and 140,938.60 is: 211,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,234.60 : 294,351.90 = 140,938.60 : x
  2. Step 2: Convert to fraction form
    196,234.60/294,351.90 = 140,938.60/x
  3. Step 3: Cross multiply
    196,234.60x = 294,351.90 × 140,938.60
  4. Step 4: Simplify right side
    196,234.60x = 41,485,544,693.34
  5. Step 5: Solve for x
    x = 41,485,544,693.34/196,234.60
  6. Step 6: Final answer
    x = 211,407.90

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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.