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Finding the Fourth Proportional to 196,512, 294,830.31 and 70,149.54

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Solution

The fourth proportional to 196,512, 294,830.31 and 70,149.54 is: 105,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,512 : 294,830.31 = 70,149.54 : x
  2. Step 2: Convert to fraction form
    196,512/294,830.31 = 70,149.54/x
  3. Step 3: Cross multiply
    196,512x = 294,830.31 × 70,149.54
  4. Step 4: Simplify right side
    196,512x = 20,682,208,799.66
  5. Step 5: Solve for x
    x = 20,682,208,799.66/196,512
  6. Step 6: Final answer
    x = 105,246.54

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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.