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Finding the Fourth Proportional to 277,855.02, 416,782.52 and 67,491.54

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Solution

The fourth proportional to 277,855.02, 416,782.52 and 67,491.54 is: 101,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,855.02 : 416,782.52 = 67,491.54 : x
  2. Step 2: Convert to fraction form
    277,855.02/416,782.52 = 67,491.54/x
  3. Step 3: Cross multiply
    277,855.02x = 416,782.52 × 67,491.54
  4. Step 4: Simplify right side
    277,855.02x = 28,129,294,119.88
  5. Step 5: Solve for x
    x = 28,129,294,119.88/277,855.02
  6. Step 6: Final answer
    x = 101,237.31

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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.