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Finding the Fourth Proportional to 137,504.44, 206,315.48 and 57,561.09

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Solution

The fourth proportional to 137,504.44, 206,315.48 and 57,561.09 is: 86,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,504.44 : 206,315.48 = 57,561.09 : x
  2. Step 2: Convert to fraction form
    137,504.44/206,315.48 = 57,561.09/x
  3. Step 3: Cross multiply
    137,504.44x = 206,315.48 × 57,561.09
  4. Step 4: Simplify right side
    137,504.44x = 11,875,743,912.67
  5. Step 5: Solve for x
    x = 11,875,743,912.67/137,504.44
  6. Step 6: Final answer
    x = 86,366.26

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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.