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Finding the Fourth Proportional to 175,098.60, 262,647.90 and 81,786.60

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Solution

The fourth proportional to 175,098.60, 262,647.90 and 81,786.60 is: 122,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,098.60 : 262,647.90 = 81,786.60 : x
  2. Step 2: Convert to fraction form
    175,098.60/262,647.90 = 81,786.60/x
  3. Step 3: Cross multiply
    175,098.60x = 262,647.90 × 81,786.60
  4. Step 4: Simplify right side
    175,098.60x = 21,481,078,738.14
  5. Step 5: Solve for x
    x = 21,481,078,738.14/175,098.60
  6. Step 6: Final answer
    x = 122,679.90

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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.