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Finding the Fourth Proportional to 264,394.36, 396,985.16 and 106,930.36

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Solution

The fourth proportional to 264,394.36, 396,985.16 and 106,930.36 is: 160,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,394.36 : 396,985.16 = 106,930.36 : x
  2. Step 2: Convert to fraction form
    264,394.36/396,985.16 = 106,930.36/x
  3. Step 3: Cross multiply
    264,394.36x = 396,985.16 × 106,930.36
  4. Step 4: Simplify right side
    264,394.36x = 42,449,766,073.46
  5. Step 5: Solve for x
    x = 42,449,766,073.46/264,394.36
  6. Step 6: Final answer
    x = 160,554.73

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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.