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Finding the Fourth Proportional to 251,301.98, 376,999.65 and 82,834.13

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Solution

The fourth proportional to 251,301.98, 376,999.65 and 82,834.13 is: 124,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,301.98 : 376,999.65 = 82,834.13 : x
  2. Step 2: Convert to fraction form
    251,301.98/376,999.65 = 82,834.13/x
  3. Step 3: Cross multiply
    251,301.98x = 376,999.65 × 82,834.13
  4. Step 4: Simplify right side
    251,301.98x = 31,228,436,133.06
  5. Step 5: Solve for x
    x = 31,228,436,133.06/251,301.98
  6. Step 6: Final answer
    x = 124,266.58

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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.