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Finding the Fourth Proportional to 251,043.82, 376,485.74 and 82,525.14

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Solution

The fourth proportional to 251,043.82, 376,485.74 and 82,525.14 is: 123,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,043.82 : 376,485.74 = 82,525.14 : x
  2. Step 2: Convert to fraction form
    251,043.82/376,485.74 = 82,525.14/x
  3. Step 3: Cross multiply
    251,043.82x = 376,485.74 × 82,525.14
  4. Step 4: Simplify right side
    251,043.82x = 31,069,538,401.50
  5. Step 5: Solve for x
    x = 31,069,538,401.50/251,043.82
  6. Step 6: Final answer
    x = 123,761.42

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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.