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Finding the Fourth Proportional to 200,755.00, 277,022.25 and 120,180.76

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Solution

The fourth proportional to 200,755.00, 277,022.25 and 120,180.76 is: 165,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,755.00 : 277,022.25 = 120,180.76 : x
  2. Step 2: Convert to fraction form
    200,755.00/277,022.25 = 120,180.76/x
  3. Step 3: Cross multiply
    200,755.00x = 277,022.25 × 120,180.76
  4. Step 4: Simplify right side
    200,755.00x = 33,292,743,849.35
  5. Step 5: Solve for x
    x = 33,292,743,849.35/200,755.00
  6. Step 6: Final answer
    x = 165,837.68

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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.