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Finding the Fourth Proportional to 189,295.38, 283,751.37 and 122,777.73

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Solution

The fourth proportional to 189,295.38, 283,751.37 and 122,777.73 is: 184,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,295.38 : 283,751.37 = 122,777.73 : x
  2. Step 2: Convert to fraction form
    189,295.38/283,751.37 = 122,777.73/x
  3. Step 3: Cross multiply
    189,295.38x = 283,751.37 × 122,777.73
  4. Step 4: Simplify right side
    189,295.38x = 34,838,349,092.99
  5. Step 5: Solve for x
    x = 34,838,349,092.99/189,295.38
  6. Step 6: Final answer
    x = 184,042.26

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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.