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Finding the Fourth Proportional to 241,650.80, 362,038.80 and 206,658.80

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Solution

The fourth proportional to 241,650.80, 362,038.80 and 206,658.80 is: 309,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,650.80 : 362,038.80 = 206,658.80 : x
  2. Step 2: Convert to fraction form
    241,650.80/362,038.80 = 206,658.80/x
  3. Step 3: Cross multiply
    241,650.80x = 362,038.80 × 206,658.80
  4. Step 4: Simplify right side
    241,650.80x = 74,818,503,961.44
  5. Step 5: Solve for x
    x = 74,818,503,961.44/241,650.80
  6. Step 6: Final answer
    x = 309,614.14

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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.