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Finding the Fourth Proportional to 204,668.16, 282,422.88 and 150,982.98

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Solution

The fourth proportional to 204,668.16, 282,422.88 and 150,982.98 is: 208,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,668.16 : 282,422.88 = 150,982.98 : x
  2. Step 2: Convert to fraction form
    204,668.16/282,422.88 = 150,982.98/x
  3. Step 3: Cross multiply
    204,668.16x = 282,422.88 × 150,982.98
  4. Step 4: Simplify right side
    204,668.16x = 42,641,048,042.58
  5. Step 5: Solve for x
    x = 42,641,048,042.58/204,668.16
  6. Step 6: Final answer
    x = 208,342.36

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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.