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Finding the Fourth Proportional to 128,415.38, 177,213.83 and 71,826.75

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Solution

The fourth proportional to 128,415.38, 177,213.83 and 71,826.75 is: 99,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,415.38 : 177,213.83 = 71,826.75 : x
  2. Step 2: Convert to fraction form
    128,415.38/177,213.83 = 71,826.75/x
  3. Step 3: Cross multiply
    128,415.38x = 177,213.83 × 71,826.75
  4. Step 4: Simplify right side
    128,415.38x = 12,728,693,104.82
  5. Step 5: Solve for x
    x = 12,728,693,104.82/128,415.38
  6. Step 6: Final answer
    x = 99,121.25

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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.