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Finding the Fourth Proportional to 233,976.80, 322,886.96 and 126,546.96

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Solution

The fourth proportional to 233,976.80, 322,886.96 and 126,546.96 is: 174,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,976.80 : 322,886.96 = 126,546.96 : x
  2. Step 2: Convert to fraction form
    233,976.80/322,886.96 = 126,546.96/x
  3. Step 3: Cross multiply
    233,976.80x = 322,886.96 × 126,546.96
  4. Step 4: Simplify right side
    233,976.80x = 40,860,363,211.64
  5. Step 5: Solve for x
    x = 40,860,363,211.64/233,976.80
  6. Step 6: Final answer
    x = 174,634.25

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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.