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Finding the Fourth Proportional to 241,826.80, 362,302.80 and 206,834.80

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Solution

The fourth proportional to 241,826.80, 362,302.80 and 206,834.80 is: 309,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,826.80 : 362,302.80 = 206,834.80 : x
  2. Step 2: Convert to fraction form
    241,826.80/362,302.80 = 206,834.80/x
  3. Step 3: Cross multiply
    241,826.80x = 362,302.80 × 206,834.80
  4. Step 4: Simplify right side
    241,826.80x = 74,936,827,177.44
  5. Step 5: Solve for x
    x = 74,936,827,177.44/241,826.80
  6. Step 6: Final answer
    x = 309,878.09

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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.