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Finding the Fourth Proportional to 200,793.72, 277,048.82 and 120,190.60

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Solution

The fourth proportional to 200,793.72, 277,048.82 and 120,190.60 is: 165,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,793.72 : 277,048.82 = 120,190.60 : x
  2. Step 2: Convert to fraction form
    200,793.72/277,048.82 = 120,190.60/x
  3. Step 3: Cross multiply
    200,793.72x = 277,048.82 × 120,190.60
  4. Step 4: Simplify right side
    200,793.72x = 33,298,663,905.09
  5. Step 5: Solve for x
    x = 33,298,663,905.09/200,793.72
  6. Step 6: Final answer
    x = 165,835.19

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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.