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Finding the Fourth Proportional to 251,932.94, 377,952.72 and 83,443.73

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Solution

The fourth proportional to 251,932.94, 377,952.72 and 83,443.73 is: 125,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,932.94 : 377,952.72 = 83,443.73 : x
  2. Step 2: Convert to fraction form
    251,932.94/377,952.72 = 83,443.73/x
  3. Step 3: Cross multiply
    251,932.94x = 377,952.72 × 83,443.73
  4. Step 4: Simplify right side
    251,932.94x = 31,537,782,517.77
  5. Step 5: Solve for x
    x = 31,537,782,517.77/251,932.94
  6. Step 6: Final answer
    x = 125,183.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.