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Finding the Fourth Proportional to 277,500.92, 382,951.95 and 150,177.44

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Solution

The fourth proportional to 277,500.92, 382,951.95 and 150,177.44 is: 207,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,500.92 : 382,951.95 = 150,177.44 : x
  2. Step 2: Convert to fraction form
    277,500.92/382,951.95 = 150,177.44/x
  3. Step 3: Cross multiply
    277,500.92x = 382,951.95 × 150,177.44
  4. Step 4: Simplify right side
    277,500.92x = 57,510,743,494.01
  5. Step 5: Solve for x
    x = 57,510,743,494.01/277,500.92
  6. Step 6: Final answer
    x = 207,245.24

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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.