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Finding the Fourth Proportional to 206,893.63, 285,505.12 and 126,455.77

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Solution

The fourth proportional to 206,893.63, 285,505.12 and 126,455.77 is: 174,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,893.63 : 285,505.12 = 126,455.77 : x
  2. Step 2: Convert to fraction form
    206,893.63/285,505.12 = 126,455.77/x
  3. Step 3: Cross multiply
    206,893.63x = 285,505.12 × 126,455.77
  4. Step 4: Simplify right side
    206,893.63x = 36,103,769,788.54
  5. Step 5: Solve for x
    x = 36,103,769,788.54/206,893.63
  6. Step 6: Final answer
    x = 174,504.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.