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Finding the Fourth Proportional to 137,753.25, 206,590.75 and 53,495.43

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Solution

The fourth proportional to 137,753.25, 206,590.75 and 53,495.43 is: 80,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,753.25 : 206,590.75 = 53,495.43 : x
  2. Step 2: Convert to fraction form
    137,753.25/206,590.75 = 53,495.43/x
  3. Step 3: Cross multiply
    137,753.25x = 206,590.75 × 53,495.43
  4. Step 4: Simplify right side
    137,753.25x = 11,051,660,096.82
  5. Step 5: Solve for x
    x = 11,051,660,096.82/137,753.25
  6. Step 6: Final answer
    x = 80,227.95

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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.