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Finding the Fourth Proportional to 233,874.79, 322,747.13 and 126,444.80

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Solution

The fourth proportional to 233,874.79, 322,747.13 and 126,444.80 is: 174,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,874.79 : 322,747.13 = 126,444.80 : x
  2. Step 2: Convert to fraction form
    233,874.79/322,747.13 = 126,444.80/x
  3. Step 3: Cross multiply
    233,874.79x = 322,747.13 × 126,444.80
  4. Step 4: Simplify right side
    233,874.79x = 40,809,695,610.95
  5. Step 5: Solve for x
    x = 40,809,695,610.95/233,874.79
  6. Step 6: Final answer
    x = 174,493.78

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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.