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Finding the Fourth Proportional to 233,054.72, 321,617.76 and 132,453.44

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Solution

The fourth proportional to 233,054.72, 321,617.76 and 132,453.44 is: 182,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,054.72 : 321,617.76 = 132,453.44 : x
  2. Step 2: Convert to fraction form
    233,054.72/321,617.76 = 132,453.44/x
  3. Step 3: Cross multiply
    233,054.72x = 321,617.76 × 132,453.44
  4. Step 4: Simplify right side
    233,054.72x = 42,599,378,677.09
  5. Step 5: Solve for x
    x = 42,599,378,677.09/233,054.72
  6. Step 6: Final answer
    x = 182,787.02

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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.