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Finding the Fourth Proportional to 202,205.75, 303,308.64 and 54,461.75

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Solution

The fourth proportional to 202,205.75, 303,308.64 and 54,461.75 is: 81,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205.75 : 303,308.64 = 54,461.75 : x
  2. Step 2: Convert to fraction form
    202,205.75/303,308.64 = 54,461.75/x
  3. Step 3: Cross multiply
    202,205.75x = 303,308.64 × 54,461.75
  4. Step 4: Simplify right side
    202,205.75x = 16,518,719,324.52
  5. Step 5: Solve for x
    x = 16,518,719,324.52/202,205.75
  6. Step 6: Final answer
    x = 81,692.63

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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.