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Finding the Fourth Proportional to 179,441.60, 269,162.40 and 54,766.40

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Solution

The fourth proportional to 179,441.60, 269,162.40 and 54,766.40 is: 82,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,441.60 : 269,162.40 = 54,766.40 : x
  2. Step 2: Convert to fraction form
    179,441.60/269,162.40 = 54,766.40/x
  3. Step 3: Cross multiply
    179,441.60x = 269,162.40 × 54,766.40
  4. Step 4: Simplify right side
    179,441.60x = 14,741,055,663.36
  5. Step 5: Solve for x
    x = 14,741,055,663.36/179,441.60
  6. Step 6: Final answer
    x = 82,149.60

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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.