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Finding the Fourth Proportional to 283,272.66, 424,910.16 and 114,796.17

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Solution

The fourth proportional to 283,272.66, 424,910.16 and 114,796.17 is: 172,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,272.66 : 424,910.16 = 114,796.17 : x
  2. Step 2: Convert to fraction form
    283,272.66/424,910.16 = 114,796.17/x
  3. Step 3: Cross multiply
    283,272.66x = 424,910.16 × 114,796.17
  4. Step 4: Simplify right side
    283,272.66x = 48,778,058,962.09
  5. Step 5: Solve for x
    x = 48,778,058,962.09/283,272.66
  6. Step 6: Final answer
    x = 172,194.73

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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.