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Finding the Fourth Proportional to 204,165, 306,309.60 and 104,395.23

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Solution

The fourth proportional to 204,165, 306,309.60 and 104,395.23 is: 156,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,165 : 306,309.60 = 104,395.23 : x
  2. Step 2: Convert to fraction form
    204,165/306,309.60 = 104,395.23/x
  3. Step 3: Cross multiply
    204,165x = 306,309.60 × 104,395.23
  4. Step 4: Simplify right side
    204,165x = 31,977,261,143.21
  5. Step 5: Solve for x
    x = 31,977,261,143.21/204,165
  6. Step 6: Final answer
    x = 156,624.60

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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.