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Finding the Fourth Proportional to 277,083.60, 382,367.70 and 156,223.82

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Solution

The fourth proportional to 277,083.60, 382,367.70 and 156,223.82 is: 215,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,083.60 : 382,367.70 = 156,223.82 : x
  2. Step 2: Convert to fraction form
    277,083.60/382,367.70 = 156,223.82/x
  3. Step 3: Cross multiply
    277,083.60x = 382,367.70 × 156,223.82
  4. Step 4: Simplify right side
    277,083.60x = 59,734,940,826.78
  5. Step 5: Solve for x
    x = 59,734,940,826.78/277,083.60
  6. Step 6: Final answer
    x = 215,584.54

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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.