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Finding the Fourth Proportional to 189,976.80, 284,965.20 and 188,664.60

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Solution

The fourth proportional to 189,976.80, 284,965.20 and 188,664.60 is: 282,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,976.80 : 284,965.20 = 188,664.60 : x
  2. Step 2: Convert to fraction form
    189,976.80/284,965.20 = 188,664.60/x
  3. Step 3: Cross multiply
    189,976.80x = 284,965.20 × 188,664.60
  4. Step 4: Simplify right side
    189,976.80x = 53,762,845,471.92
  5. Step 5: Solve for x
    x = 53,762,845,471.92/189,976.80
  6. Step 6: Final answer
    x = 282,996.90

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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.