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Finding the Fourth Proportional to 200,763.82, 277,379.49 and 170,865.10

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Solution

The fourth proportional to 200,763.82, 277,379.49 and 170,865.10 is: 236,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,763.82 : 277,379.49 = 170,865.10 : x
  2. Step 2: Convert to fraction form
    200,763.82/277,379.49 = 170,865.10/x
  3. Step 3: Cross multiply
    200,763.82x = 277,379.49 × 170,865.10
  4. Step 4: Simplify right side
    200,763.82x = 47,394,474,244.09
  5. Step 5: Solve for x
    x = 47,394,474,244.09/200,763.82
  6. Step 6: Final answer
    x = 236,070.80

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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.