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Finding the Fourth Proportional to 229,542.67, 315,993.37 and 189,192.52

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Solution

The fourth proportional to 229,542.67, 315,993.37 and 189,192.52 is: 260,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,542.67 : 315,993.37 = 189,192.52 : x
  2. Step 2: Convert to fraction form
    229,542.67/315,993.37 = 189,192.52/x
  3. Step 3: Cross multiply
    229,542.67x = 315,993.37 × 189,192.52
  4. Step 4: Simplify right side
    229,542.67x = 59,783,579,447.66
  5. Step 5: Solve for x
    x = 59,783,579,447.66/229,542.67
  6. Step 6: Final answer
    x = 260,446.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.