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Finding the Fourth Proportional to 233,290.96, 321,951.72 and 131,323

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Solution

The fourth proportional to 233,290.96, 321,951.72 and 131,323 is: 181,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,290.96 : 321,951.72 = 131,323 : x
  2. Step 2: Convert to fraction form
    233,290.96/321,951.72 = 131,323/x
  3. Step 3: Cross multiply
    233,290.96x = 321,951.72 × 131,323
  4. Step 4: Simplify right side
    233,290.96x = 42,279,665,725.56
  5. Step 5: Solve for x
    x = 42,279,665,725.56/233,290.96
  6. Step 6: Final answer
    x = 181,231.48

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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.