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Finding the Fourth Proportional to 202,865.68, 303,773.64 and 180,296.56

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Solution

The fourth proportional to 202,865.68, 303,773.64 and 180,296.56 is: 269,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,865.68 : 303,773.64 = 180,296.56 : x
  2. Step 2: Convert to fraction form
    202,865.68/303,773.64 = 180,296.56/x
  3. Step 3: Cross multiply
    202,865.68x = 303,773.64 × 180,296.56
  4. Step 4: Simplify right side
    202,865.68x = 54,769,342,310.68
  5. Step 5: Solve for x
    x = 54,769,342,310.68/202,865.68
  6. Step 6: Final answer
    x = 269,978.35

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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.