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Finding the Fourth Proportional to 208,855.20, 313,282.80 and 51,081.60

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Solution

The fourth proportional to 208,855.20, 313,282.80 and 51,081.60 is: 76,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855.20 : 313,282.80 = 51,081.60 : x
  2. Step 2: Convert to fraction form
    208,855.20/313,282.80 = 51,081.60/x
  3. Step 3: Cross multiply
    208,855.20x = 313,282.80 × 51,081.60
  4. Step 4: Simplify right side
    208,855.20x = 16,002,986,676.48
  5. Step 5: Solve for x
    x = 16,002,986,676.48/208,855.20
  6. Step 6: Final answer
    x = 76,622.40

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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.