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Finding the Fourth Proportional to 204,825.50, 307,237.80 and 55,065.80

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Solution

The fourth proportional to 204,825.50, 307,237.80 and 55,065.80 is: 82,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,825.50 : 307,237.80 = 55,065.80 : x
  2. Step 2: Convert to fraction form
    204,825.50/307,237.80 = 55,065.80/x
  3. Step 3: Cross multiply
    204,825.50x = 307,237.80 × 55,065.80
  4. Step 4: Simplify right side
    204,825.50x = 16,918,295,247.24
  5. Step 5: Solve for x
    x = 16,918,295,247.24/204,825.50
  6. Step 6: Final answer
    x = 82,598.58

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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.