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Finding the Fourth Proportional to 195,073.54, 269,201.82 and 105,649.54

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Solution

The fourth proportional to 195,073.54, 269,201.82 and 105,649.54 is: 145,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,073.54 : 269,201.82 = 105,649.54 : x
  2. Step 2: Convert to fraction form
    195,073.54/269,201.82 = 105,649.54/x
  3. Step 3: Cross multiply
    195,073.54x = 269,201.82 × 105,649.54
  4. Step 4: Simplify right side
    195,073.54x = 28,441,048,450.16
  5. Step 5: Solve for x
    x = 28,441,048,450.16/195,073.54
  6. Step 6: Final answer
    x = 145,796.55

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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.