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Finding the Fourth Proportional to 122,308.55, 183,462.83 and 82,450.48

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Solution

The fourth proportional to 122,308.55, 183,462.83 and 82,450.48 is: 123,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,308.55 : 183,462.83 = 82,450.48 : x
  2. Step 2: Convert to fraction form
    122,308.55/183,462.83 = 82,450.48/x
  3. Step 3: Cross multiply
    122,308.55x = 183,462.83 × 82,450.48
  4. Step 4: Simplify right side
    122,308.55x = 15,126,597,066.09
  5. Step 5: Solve for x
    x = 15,126,597,066.09/122,308.55
  6. Step 6: Final answer
    x = 123,675.71

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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.