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Finding the Fourth Proportional to 137,549.56, 206,324.34 and 90,791.50

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Solution

The fourth proportional to 137,549.56, 206,324.34 and 90,791.50 is: 136,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,549.56 : 206,324.34 = 90,791.50 : x
  2. Step 2: Convert to fraction form
    137,549.56/206,324.34 = 90,791.50/x
  3. Step 3: Cross multiply
    137,549.56x = 206,324.34 × 90,791.50
  4. Step 4: Simplify right side
    137,549.56x = 18,732,496,315.11
  5. Step 5: Solve for x
    x = 18,732,496,315.11/137,549.56
  6. Step 6: Final answer
    x = 136,187.25

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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.