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Finding the Fourth Proportional to 309,906.12, 464,797.92 and 85,208.58

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Solution

The fourth proportional to 309,906.12, 464,797.92 and 85,208.58 is: 127,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,906.12 : 464,797.92 = 85,208.58 : x
  2. Step 2: Convert to fraction form
    309,906.12/464,797.92 = 85,208.58/x
  3. Step 3: Cross multiply
    309,906.12x = 464,797.92 × 85,208.58
  4. Step 4: Simplify right side
    309,906.12x = 39,604,770,750.15
  5. Step 5: Solve for x
    x = 39,604,770,750.15/309,906.12
  6. Step 6: Final answer
    x = 127,796.03

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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.