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Finding the Fourth Proportional to 233,633.85, 322,414.89 and 126,203.88

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Solution

The fourth proportional to 233,633.85, 322,414.89 and 126,203.88 is: 174,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,633.85 : 322,414.89 = 126,203.88 : x
  2. Step 2: Convert to fraction form
    233,633.85/322,414.89 = 126,203.88/x
  3. Step 3: Cross multiply
    233,633.85x = 322,414.89 × 126,203.88
  4. Step 4: Simplify right side
    233,633.85x = 40,690,009,456.75
  5. Step 5: Solve for x
    x = 40,690,009,456.75/233,633.85
  6. Step 6: Final answer
    x = 174,161.45

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