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Finding the Fourth Proportional to 180,698.70, 270,940.05 and 110,628.30

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Solution

The fourth proportional to 180,698.70, 270,940.05 and 110,628.30 is: 165,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,698.70 : 270,940.05 = 110,628.30 : x
  2. Step 2: Convert to fraction form
    180,698.70/270,940.05 = 110,628.30/x
  3. Step 3: Cross multiply
    180,698.70x = 270,940.05 × 110,628.30
  4. Step 4: Simplify right side
    180,698.70x = 29,973,637,133.42
  5. Step 5: Solve for x
    x = 29,973,637,133.42/180,698.70
  6. Step 6: Final answer
    x = 165,876.33

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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.