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Finding the Fourth Proportional to 229,144.92, 343,853.46 and 123,961.56

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Solution

The fourth proportional to 229,144.92, 343,853.46 and 123,961.56 is: 186,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,144.92 : 343,853.46 = 123,961.56 : x
  2. Step 2: Convert to fraction form
    229,144.92/343,853.46 = 123,961.56/x
  3. Step 3: Cross multiply
    229,144.92x = 343,853.46 × 123,961.56
  4. Step 4: Simplify right side
    229,144.92x = 42,624,611,313.00
  5. Step 5: Solve for x
    x = 42,624,611,313.00/229,144.92
  6. Step 6: Final answer
    x = 186,015.96

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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.