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Finding the Fourth Proportional to 204,662.54, 282,454.98 and 114,033.26

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Solution

The fourth proportional to 204,662.54, 282,454.98 and 114,033.26 is: 157,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,662.54 : 282,454.98 = 114,033.26 : x
  2. Step 2: Convert to fraction form
    204,662.54/282,454.98 = 114,033.26/x
  3. Step 3: Cross multiply
    204,662.54x = 282,454.98 × 114,033.26
  4. Step 4: Simplify right side
    204,662.54x = 32,209,262,172.63
  5. Step 5: Solve for x
    x = 32,209,262,172.63/204,662.54
  6. Step 6: Final answer
    x = 157,377.42

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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.