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Finding the Fourth Proportional to 206,488.80, 309,733.20 and 81,813.60

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Solution

The fourth proportional to 206,488.80, 309,733.20 and 81,813.60 is: 122,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,488.80 : 309,733.20 = 81,813.60 : x
  2. Step 2: Convert to fraction form
    206,488.80/309,733.20 = 81,813.60/x
  3. Step 3: Cross multiply
    206,488.80x = 309,733.20 × 81,813.60
  4. Step 4: Simplify right side
    206,488.80x = 25,340,388,131.52
  5. Step 5: Solve for x
    x = 25,340,388,131.52/206,488.80
  6. Step 6: Final answer
    x = 122,720.40

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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.