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Finding the Fourth Proportional to 174,632.80, 261,949.20 and 127,976.80

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Solution

The fourth proportional to 174,632.80, 261,949.20 and 127,976.80 is: 191,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,632.80 : 261,949.20 = 127,976.80 : x
  2. Step 2: Convert to fraction form
    174,632.80/261,949.20 = 127,976.80/x
  3. Step 3: Cross multiply
    174,632.80x = 261,949.20 × 127,976.80
  4. Step 4: Simplify right side
    174,632.80x = 33,523,420,378.56
  5. Step 5: Solve for x
    x = 33,523,420,378.56/174,632.80
  6. Step 6: Final answer
    x = 191,965.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.