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Finding the Fourth Proportional to 251,101.76, 376,610.99 and 82,624.19

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Solution

The fourth proportional to 251,101.76, 376,610.99 and 82,624.19 is: 123,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,101.76 : 376,610.99 = 82,624.19 : x
  2. Step 2: Convert to fraction form
    251,101.76/376,610.99 = 82,624.19/x
  3. Step 3: Cross multiply
    251,101.76x = 376,610.99 × 82,624.19
  4. Step 4: Simplify right side
    251,101.76x = 31,117,175,697.67
  5. Step 5: Solve for x
    x = 31,117,175,697.67/251,101.76
  6. Step 6: Final answer
    x = 123,922.57

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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.