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Finding the Fourth Proportional to 195,523.50, 269,822.43 and 106,099.50

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Solution

The fourth proportional to 195,523.50, 269,822.43 and 106,099.50 is: 146,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,523.50 : 269,822.43 = 106,099.50 : x
  2. Step 2: Convert to fraction form
    195,523.50/269,822.43 = 106,099.50/x
  3. Step 3: Cross multiply
    195,523.50x = 269,822.43 × 106,099.50
  4. Step 4: Simplify right side
    195,523.50x = 28,628,024,911.79
  5. Step 5: Solve for x
    x = 28,628,024,911.79/195,523.50
  6. Step 6: Final answer
    x = 146,417.31

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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.