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Finding the Fourth Proportional to 251,239.83, 376,911.68 and 82,770.51

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Solution

The fourth proportional to 251,239.83, 376,911.68 and 82,770.51 is: 124,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,239.83 : 376,911.68 = 82,770.51 : x
  2. Step 2: Convert to fraction form
    251,239.83/376,911.68 = 82,770.51/x
  3. Step 3: Cross multiply
    251,239.83x = 376,911.68 × 82,770.51
  4. Step 4: Simplify right side
    251,239.83x = 31,197,171,323.58
  5. Step 5: Solve for x
    x = 31,197,171,323.58/251,239.83
  6. Step 6: Final answer
    x = 124,172.87

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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.