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Finding the Fourth Proportional to 241,701.80, 362,115.30 and 206,709.80

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Solution

The fourth proportional to 241,701.80, 362,115.30 and 206,709.80 is: 309,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,701.80 : 362,115.30 = 206,709.80 : x
  2. Step 2: Convert to fraction form
    241,701.80/362,115.30 = 206,709.80/x
  3. Step 3: Cross multiply
    241,701.80x = 362,115.30 × 206,709.80
  4. Step 4: Simplify right side
    241,701.80x = 74,852,781,239.94
  5. Step 5: Solve for x
    x = 74,852,781,239.94/241,701.80
  6. Step 6: Final answer
    x = 309,690.62

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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.