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Finding the Fourth Proportional to 204,684.48, 307,005.12 and 54,940.32

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Solution

The fourth proportional to 204,684.48, 307,005.12 and 54,940.32 is: 82,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,684.48 : 307,005.12 = 54,940.32 : x
  2. Step 2: Convert to fraction form
    204,684.48/307,005.12 = 54,940.32/x
  3. Step 3: Cross multiply
    204,684.48x = 307,005.12 × 54,940.32
  4. Step 4: Simplify right side
    204,684.48x = 16,866,959,534.44
  5. Step 5: Solve for x
    x = 16,866,959,534.44/204,684.48
  6. Step 6: Final answer
    x = 82,404.68

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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.