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Finding the Fourth Proportional to 195,415.46, 269,673.83 and 105,991.46

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Solution

The fourth proportional to 195,415.46, 269,673.83 and 105,991.46 is: 146,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,415.46 : 269,673.83 = 105,991.46 : x
  2. Step 2: Convert to fraction form
    195,415.46/269,673.83 = 105,991.46/x
  3. Step 3: Cross multiply
    195,415.46x = 269,673.83 × 105,991.46
  4. Step 4: Simplify right side
    195,415.46x = 28,583,122,965.49
  5. Step 5: Solve for x
    x = 28,583,122,965.49/195,415.46
  6. Step 6: Final answer
    x = 146,268.48

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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.