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Finding the Fourth Proportional to 118,231.92, 177,355.44 and 82,585.44

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Solution

The fourth proportional to 118,231.92, 177,355.44 and 82,585.44 is: 123,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,231.92 : 177,355.44 = 82,585.44 : x
  2. Step 2: Convert to fraction form
    118,231.92/177,355.44 = 82,585.44/x
  3. Step 3: Cross multiply
    118,231.92x = 177,355.44 × 82,585.44
  4. Step 4: Simplify right side
    118,231.92x = 14,646,977,048.79
  5. Step 5: Solve for x
    x = 14,646,977,048.79/118,231.92
  6. Step 6: Final answer
    x = 123,883.44

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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.