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Finding the Fourth Proportional to 204,404, 282,035.04 and 119,504.64

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Solution

The fourth proportional to 204,404, 282,035.04 and 119,504.64 is: 164,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,404 : 282,035.04 = 119,504.64 : x
  2. Step 2: Convert to fraction form
    204,404/282,035.04 = 119,504.64/x
  3. Step 3: Cross multiply
    204,404x = 282,035.04 × 119,504.64
  4. Step 4: Simplify right side
    204,404x = 33,704,495,922.59
  5. Step 5: Solve for x
    x = 33,704,495,922.59/204,404
  6. Step 6: Final answer
    x = 164,891.57

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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.