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Finding the Fourth Proportional to 204,804.42, 282,636.09 and 119,913.54

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Solution

The fourth proportional to 204,804.42, 282,636.09 and 119,913.54 is: 165,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,804.42 : 282,636.09 = 119,913.54 : x
  2. Step 2: Convert to fraction form
    204,804.42/282,636.09 = 119,913.54/x
  3. Step 3: Cross multiply
    204,804.42x = 282,636.09 × 119,913.54
  4. Step 4: Simplify right side
    204,804.42x = 33,891,894,083.66
  5. Step 5: Solve for x
    x = 33,891,894,083.66/204,804.42
  6. Step 6: Final answer
    x = 165,484.19

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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.