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Finding the Fourth Proportional to 195,168.72, 269,184.24 and 167,991

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Solution

The fourth proportional to 195,168.72, 269,184.24 and 167,991 is: 231,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,168.72 : 269,184.24 = 167,991 : x
  2. Step 2: Convert to fraction form
    195,168.72/269,184.24 = 167,991/x
  3. Step 3: Cross multiply
    195,168.72x = 269,184.24 × 167,991
  4. Step 4: Simplify right side
    195,168.72x = 45,220,529,661.84
  5. Step 5: Solve for x
    x = 45,220,529,661.84/195,168.72
  6. Step 6: Final answer
    x = 231,699.68

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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.