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Finding the Fourth Proportional to 169,997.85, 255,033.46 and 51,678.72

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Solution

The fourth proportional to 169,997.85, 255,033.46 and 51,678.72 is: 77,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,997.85 : 255,033.46 = 51,678.72 : x
  2. Step 2: Convert to fraction form
    169,997.85/255,033.46 = 51,678.72/x
  3. Step 3: Cross multiply
    169,997.85x = 255,033.46 × 51,678.72
  4. Step 4: Simplify right side
    169,997.85x = 13,179,802,769.97
  5. Step 5: Solve for x
    x = 13,179,802,769.97/169,997.85
  6. Step 6: Final answer
    x = 77,529.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.