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Finding the Fourth Proportional to 204,478.36, 282,193.81 and 123,913.80

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Solution

The fourth proportional to 204,478.36, 282,193.81 and 123,913.80 is: 171,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,478.36 : 282,193.81 = 123,913.80 : x
  2. Step 2: Convert to fraction form
    204,478.36/282,193.81 = 123,913.80/x
  3. Step 3: Cross multiply
    204,478.36x = 282,193.81 × 123,913.80
  4. Step 4: Simplify right side
    204,478.36x = 34,967,707,023.79
  5. Step 5: Solve for x
    x = 34,967,707,023.79/204,478.36
  6. Step 6: Final answer
    x = 171,009.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.