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Finding the Fourth Proportional to 176,650.80, 264,976.20 and 76,858.80

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Solution

The fourth proportional to 176,650.80, 264,976.20 and 76,858.80 is: 115,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,650.80 : 264,976.20 = 76,858.80 : x
  2. Step 2: Convert to fraction form
    176,650.80/264,976.20 = 76,858.80/x
  3. Step 3: Cross multiply
    176,650.80x = 264,976.20 × 76,858.80
  4. Step 4: Simplify right side
    176,650.80x = 20,365,752,760.56
  5. Step 5: Solve for x
    x = 20,365,752,760.56/176,650.80
  6. Step 6: Final answer
    x = 115,288.20

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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.