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Finding the Fourth Proportional to 195,224.50, 269,409.99 and 105,800.50

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Solution

The fourth proportional to 195,224.50, 269,409.99 and 105,800.50 is: 146,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,224.50 : 269,409.99 = 105,800.50 : x
  2. Step 2: Convert to fraction form
    195,224.50/269,409.99 = 105,800.50/x
  3. Step 3: Cross multiply
    195,224.50x = 269,409.99 × 105,800.50
  4. Step 4: Simplify right side
    195,224.50x = 28,503,711,647.00
  5. Step 5: Solve for x
    x = 28,503,711,647.00/195,224.50
  6. Step 6: Final answer
    x = 146,004.79

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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.