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Finding the Fourth Proportional to 185,367.44, 277,858.56 and 78,819.80

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Solution

The fourth proportional to 185,367.44, 277,858.56 and 78,819.80 is: 118,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,367.44 : 277,858.56 = 78,819.80 : x
  2. Step 2: Convert to fraction form
    185,367.44/277,858.56 = 78,819.80/x
  3. Step 3: Cross multiply
    185,367.44x = 277,858.56 × 78,819.80
  4. Step 4: Simplify right side
    185,367.44x = 21,900,756,127.49
  5. Step 5: Solve for x
    x = 21,900,756,127.49/185,367.44
  6. Step 6: Final answer
    x = 118,147.80

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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.