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Finding the Fourth Proportional to 137,796.72, 206,654 and 53,569.96

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Solution

The fourth proportional to 137,796.72, 206,654 and 53,569.96 is: 80,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,796.72 : 206,654 = 53,569.96 : x
  2. Step 2: Convert to fraction form
    137,796.72/206,654 = 53,569.96/x
  3. Step 3: Cross multiply
    137,796.72x = 206,654 × 53,569.96
  4. Step 4: Simplify right side
    137,796.72x = 11,070,446,513.84
  5. Step 5: Solve for x
    x = 11,070,446,513.84/137,796.72
  6. Step 6: Final answer
    x = 80,338.97

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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.