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Finding the Fourth Proportional to 179,722.76, 269,584.12 and 55,063.76

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Solution

The fourth proportional to 179,722.76, 269,584.12 and 55,063.76 is: 82,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,722.76 : 269,584.12 = 55,063.76 : x
  2. Step 2: Convert to fraction form
    179,722.76/269,584.12 = 55,063.76/x
  3. Step 3: Cross multiply
    179,722.76x = 269,584.12 × 55,063.76
  4. Step 4: Simplify right side
    179,722.76x = 14,844,315,283.49
  5. Step 5: Solve for x
    x = 14,844,315,283.49/179,722.76
  6. Step 6: Final answer
    x = 82,595.63

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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.