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Finding the Fourth Proportional to 251,241.64, 376,781.46 and 82,721.84

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Solution

The fourth proportional to 251,241.64, 376,781.46 and 82,721.84 is: 124,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,241.64 : 376,781.46 = 82,721.84 : x
  2. Step 2: Convert to fraction form
    251,241.64/376,781.46 = 82,721.84/x
  3. Step 3: Cross multiply
    251,241.64x = 376,781.46 × 82,721.84
  4. Step 4: Simplify right side
    251,241.64x = 31,168,055,649.09
  5. Step 5: Solve for x
    x = 31,168,055,649.09/251,241.64
  6. Step 6: Final answer
    x = 124,056.09

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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.