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Finding the Fourth Proportional to 141,201.38, 194,859.26 and 77,540.50

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Solution

The fourth proportional to 141,201.38, 194,859.26 and 77,540.50 is: 107,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,201.38 : 194,859.26 = 77,540.50 : x
  2. Step 2: Convert to fraction form
    141,201.38/194,859.26 = 77,540.50/x
  3. Step 3: Cross multiply
    141,201.38x = 194,859.26 × 77,540.50
  4. Step 4: Simplify right side
    141,201.38x = 15,109,484,450.03
  5. Step 5: Solve for x
    x = 15,109,484,450.03/141,201.38
  6. Step 6: Final answer
    x = 107,006.63

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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.