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Finding the Fourth Proportional to 251,415.70, 377,175.49 and 82,946.30

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Solution

The fourth proportional to 251,415.70, 377,175.49 and 82,946.30 is: 124,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,415.70 : 377,175.49 = 82,946.30 : x
  2. Step 2: Convert to fraction form
    251,415.70/377,175.49 = 82,946.30/x
  3. Step 3: Cross multiply
    251,415.70x = 377,175.49 × 82,946.30
  4. Step 4: Simplify right side
    251,415.70x = 31,285,309,252.94
  5. Step 5: Solve for x
    x = 31,285,309,252.94/251,415.70
  6. Step 6: Final answer
    x = 124,436.58

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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.