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Finding the Fourth Proportional to 280,635.33, 420,902.43 and 80,906.65

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Solution

The fourth proportional to 280,635.33, 420,902.43 and 80,906.65 is: 121,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,635.33 : 420,902.43 = 80,906.65 : x
  2. Step 2: Convert to fraction form
    280,635.33/420,902.43 = 80,906.65/x
  3. Step 3: Cross multiply
    280,635.33x = 420,902.43 × 80,906.65
  4. Step 4: Simplify right side
    280,635.33x = 34,053,804,232.50
  5. Step 5: Solve for x
    x = 34,053,804,232.50/280,635.33
  6. Step 6: Final answer
    x = 121,345.39

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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.