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Finding the Fourth Proportional to 200,753.75, 277,063.32 and 120,181.26

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Solution

The fourth proportional to 200,753.75, 277,063.32 and 120,181.26 is: 165,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,753.75 : 277,063.32 = 120,181.26 : x
  2. Step 2: Convert to fraction form
    200,753.75/277,063.32 = 120,181.26/x
  3. Step 3: Cross multiply
    200,753.75x = 277,063.32 × 120,181.26
  4. Step 4: Simplify right side
    200,753.75x = 33,297,818,897.38
  5. Step 5: Solve for x
    x = 33,297,818,897.38/200,753.75
  6. Step 6: Final answer
    x = 165,863.99

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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.