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Finding the Fourth Proportional to 239,796.84, 331,052.22 and 144,327

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Solution

The fourth proportional to 239,796.84, 331,052.22 and 144,327 is: 199,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,796.84 : 331,052.22 = 144,327 : x
  2. Step 2: Convert to fraction form
    239,796.84/331,052.22 = 144,327/x
  3. Step 3: Cross multiply
    239,796.84x = 331,052.22 × 144,327
  4. Step 4: Simplify right side
    239,796.84x = 47,779,773,755.94
  5. Step 5: Solve for x
    x = 47,779,773,755.94/239,796.84
  6. Step 6: Final answer
    x = 199,251.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.