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Finding the Fourth Proportional to 277,456.92, 382,872.46 and 156,581.77

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Solution

The fourth proportional to 277,456.92, 382,872.46 and 156,581.77 is: 216,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,456.92 : 382,872.46 = 156,581.77 : x
  2. Step 2: Convert to fraction form
    277,456.92/382,872.46 = 156,581.77/x
  3. Step 3: Cross multiply
    277,456.92x = 382,872.46 × 156,581.77
  4. Step 4: Simplify right side
    277,456.92x = 59,950,847,471.05
  5. Step 5: Solve for x
    x = 59,950,847,471.05/277,456.92
  6. Step 6: Final answer
    x = 216,072.63

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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.