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Finding the Fourth Proportional to 251,295.70, 376,990.25 and 82,827.85

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Solution

The fourth proportional to 251,295.70, 376,990.25 and 82,827.85 is: 124,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,295.70 : 376,990.25 = 82,827.85 : x
  2. Step 2: Convert to fraction form
    251,295.70/376,990.25 = 82,827.85/x
  3. Step 3: Cross multiply
    251,295.70x = 376,990.25 × 82,827.85
  4. Step 4: Simplify right side
    251,295.70x = 31,225,291,878.46
  5. Step 5: Solve for x
    x = 31,225,291,878.46/251,295.70
  6. Step 6: Final answer
    x = 124,257.17

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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.