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Finding the Fourth Proportional to 235,911.06, 353,571.49 and 185,793.22

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Solution

The fourth proportional to 235,911.06, 353,571.49 and 185,793.22 is: 278,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,911.06 : 353,571.49 = 185,793.22 : x
  2. Step 2: Convert to fraction form
    235,911.06/353,571.49 = 185,793.22/x
  3. Step 3: Cross multiply
    235,911.06x = 353,571.49 × 185,793.22
  4. Step 4: Simplify right side
    235,911.06x = 65,691,185,627.30
  5. Step 5: Solve for x
    x = 65,691,185,627.30/235,911.06
  6. Step 6: Final answer
    x = 278,457.42

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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.