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Finding the Fourth Proportional to 223,676.44, 308,571.76 and 132,980.95

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Solution

The fourth proportional to 223,676.44, 308,571.76 and 132,980.95 is: 183,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,676.44 : 308,571.76 = 132,980.95 : x
  2. Step 2: Convert to fraction form
    223,676.44/308,571.76 = 132,980.95/x
  3. Step 3: Cross multiply
    223,676.44x = 308,571.76 × 132,980.95
  4. Step 4: Simplify right side
    223,676.44x = 41,034,165,787.97
  5. Step 5: Solve for x
    x = 41,034,165,787.97/223,676.44
  6. Step 6: Final answer
    x = 183,453.23

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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.