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Finding the Fourth Proportional to 251,114.90, 376,731.58 and 82,648.46

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Solution

The fourth proportional to 251,114.90, 376,731.58 and 82,648.46 is: 123,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,114.90 : 376,731.58 = 82,648.46 : x
  2. Step 2: Convert to fraction form
    251,114.90/376,731.58 = 82,648.46/x
  3. Step 3: Cross multiply
    251,114.90x = 376,731.58 × 82,648.46
  4. Step 4: Simplify right side
    251,114.90x = 31,136,284,920.37
  5. Step 5: Solve for x
    x = 31,136,284,920.37/251,114.90
  6. Step 6: Final answer
    x = 123,992.18

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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.