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Finding the Fourth Proportional to 251,835.62, 377,662.70 and 83,324.84

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Solution

The fourth proportional to 251,835.62, 377,662.70 and 83,324.84 is: 124,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,835.62 : 377,662.70 = 83,324.84 : x
  2. Step 2: Convert to fraction form
    251,835.62/377,662.70 = 83,324.84/x
  3. Step 3: Cross multiply
    251,835.62x = 377,662.70 × 83,324.84
  4. Step 4: Simplify right side
    251,835.62x = 31,468,682,371.47
  5. Step 5: Solve for x
    x = 31,468,682,371.47/251,835.62
  6. Step 6: Final answer
    x = 124,957.24

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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.