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Finding the Fourth Proportional to 195,523.70, 269,822.69 and 106,099.70

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Solution

The fourth proportional to 195,523.70, 269,822.69 and 106,099.70 is: 146,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,523.70 : 269,822.69 = 106,099.70 : x
  2. Step 2: Convert to fraction form
    195,523.70/269,822.69 = 106,099.70/x
  3. Step 3: Cross multiply
    195,523.70x = 269,822.69 × 106,099.70
  4. Step 4: Simplify right side
    195,523.70x = 28,628,104,582.58
  5. Step 5: Solve for x
    x = 28,628,104,582.58/195,523.70
  6. Step 6: Final answer
    x = 146,417.57

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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.