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Finding the Fourth Proportional to 175,759.78, 263,684.58 and 51,100.78

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Solution

The fourth proportional to 175,759.78, 263,684.58 and 51,100.78 is: 76,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,759.78 : 263,684.58 = 51,100.78 : x
  2. Step 2: Convert to fraction form
    175,759.78/263,684.58 = 51,100.78/x
  3. Step 3: Cross multiply
    175,759.78x = 263,684.58 × 51,100.78
  4. Step 4: Simplify right side
    175,759.78x = 13,474,487,711.97
  5. Step 5: Solve for x
    x = 13,474,487,711.97/175,759.78
  6. Step 6: Final answer
    x = 76,664.23

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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.