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Finding the Fourth Proportional to 135,180.06, 202,771.71 and 81,883.68

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Solution

The fourth proportional to 135,180.06, 202,771.71 and 81,883.68 is: 122,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,180.06 : 202,771.71 = 81,883.68 : x
  2. Step 2: Convert to fraction form
    135,180.06/202,771.71 = 81,883.68/x
  3. Step 3: Cross multiply
    135,180.06x = 202,771.71 × 81,883.68
  4. Step 4: Simplify right side
    135,180.06x = 16,603,693,814.69
  5. Step 5: Solve for x
    x = 16,603,693,814.69/135,180.06
  6. Step 6: Final answer
    x = 122,826.50

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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.