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Finding the Fourth Proportional to 250,827.58, 376,100.38 and 82,333.80

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Solution

The fourth proportional to 250,827.58, 376,100.38 and 82,333.80 is: 123,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,827.58 : 376,100.38 = 82,333.80 : x
  2. Step 2: Convert to fraction form
    250,827.58/376,100.38 = 82,333.80/x
  3. Step 3: Cross multiply
    250,827.58x = 376,100.38 × 82,333.80
  4. Step 4: Simplify right side
    250,827.58x = 30,965,771,586.34
  5. Step 5: Solve for x
    x = 30,965,771,586.34/250,827.58
  6. Step 6: Final answer
    x = 123,454.41

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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.