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Finding the Fourth Proportional to 208,825.84, 313,238.76 and 51,052.42

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Solution

The fourth proportional to 208,825.84, 313,238.76 and 51,052.42 is: 76,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,825.84 : 313,238.76 = 51,052.42 : x
  2. Step 2: Convert to fraction form
    208,825.84/313,238.76 = 51,052.42/x
  3. Step 3: Cross multiply
    208,825.84x = 313,238.76 × 51,052.42
  4. Step 4: Simplify right side
    208,825.84x = 15,991,596,735.80
  5. Step 5: Solve for x
    x = 15,991,596,735.80/208,825.84
  6. Step 6: Final answer
    x = 76,578.63

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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.