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Finding the Fourth Proportional to 208,672.40, 313,008.60 and 177,179.60

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Solution

The fourth proportional to 208,672.40, 313,008.60 and 177,179.60 is: 265,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,672.40 : 313,008.60 = 177,179.60 : x
  2. Step 2: Convert to fraction form
    208,672.40/313,008.60 = 177,179.60/x
  3. Step 3: Cross multiply
    208,672.40x = 313,008.60 × 177,179.60
  4. Step 4: Simplify right side
    208,672.40x = 55,458,738,544.56
  5. Step 5: Solve for x
    x = 55,458,738,544.56/208,672.40
  6. Step 6: Final answer
    x = 265,769.40

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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.