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Finding the Fourth Proportional to 255,246.28, 382,855.46 and 77,738.44

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Solution

The fourth proportional to 255,246.28, 382,855.46 and 77,738.44 is: 116,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,246.28 : 382,855.46 = 77,738.44 : x
  2. Step 2: Convert to fraction form
    255,246.28/382,855.46 = 77,738.44/x
  3. Step 3: Cross multiply
    255,246.28x = 382,855.46 × 77,738.44
  4. Step 4: Simplify right side
    255,246.28x = 29,762,586,205.88
  5. Step 5: Solve for x
    x = 29,762,586,205.88/255,246.28
  6. Step 6: Final answer
    x = 116,603.41

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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.