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Finding the Fourth Proportional to 195,576, 269,895.12 and 106,152

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Solution

The fourth proportional to 195,576, 269,895.12 and 106,152 is: 146,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,576 : 269,895.12 = 106,152 : x
  2. Step 2: Convert to fraction form
    195,576/269,895.12 = 106,152/x
  3. Step 3: Cross multiply
    195,576x = 269,895.12 × 106,152
  4. Step 4: Simplify right side
    195,576x = 28,649,906,778.24
  5. Step 5: Solve for x
    x = 28,649,906,778.24/195,576
  6. Step 6: Final answer
    x = 146,489.89

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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.