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Finding the Fourth Proportional to 149,540.37, 206,364.85 and 81,556.12

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Solution

The fourth proportional to 149,540.37, 206,364.85 and 81,556.12 is: 112,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,540.37 : 206,364.85 = 81,556.12 : x
  2. Step 2: Convert to fraction form
    149,540.37/206,364.85 = 81,556.12/x
  3. Step 3: Cross multiply
    149,540.37x = 206,364.85 × 81,556.12
  4. Step 4: Simplify right side
    149,540.37x = 16,830,316,470.38
  5. Step 5: Solve for x
    x = 16,830,316,470.38/149,540.37
  6. Step 6: Final answer
    x = 112,546.98

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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.