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Finding the Fourth Proportional to 233,449.20, 322,101.36 and 131,454

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Solution

The fourth proportional to 233,449.20, 322,101.36 and 131,454 is: 181,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,449.20 : 322,101.36 = 131,454 : x
  2. Step 2: Convert to fraction form
    233,449.20/322,101.36 = 131,454/x
  3. Step 3: Cross multiply
    233,449.20x = 322,101.36 × 131,454
  4. Step 4: Simplify right side
    233,449.20x = 42,341,512,177.44
  5. Step 5: Solve for x
    x = 42,341,512,177.44/233,449.20
  6. Step 6: Final answer
    x = 181,373.56

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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.