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Finding the Fourth Proportional to 200,755.25, 277,022.59 and 120,181

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Solution

The fourth proportional to 200,755.25, 277,022.59 and 120,181 is: 165,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,755.25 : 277,022.59 = 120,181 : x
  2. Step 2: Convert to fraction form
    200,755.25/277,022.59 = 120,181/x
  3. Step 3: Cross multiply
    200,755.25x = 277,022.59 × 120,181
  4. Step 4: Simplify right side
    200,755.25x = 33,292,851,888.79
  5. Step 5: Solve for x
    x = 33,292,851,888.79/200,755.25
  6. Step 6: Final answer
    x = 165,838.01

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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.