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Finding the Fourth Proportional to 233,723, 322,530.90 and 131,754.44

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Solution

The fourth proportional to 233,723, 322,530.90 and 131,754.44 is: 181,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,723 : 322,530.90 = 131,754.44 : x
  2. Step 2: Convert to fraction form
    233,723/322,530.90 = 131,754.44/x
  3. Step 3: Cross multiply
    233,723x = 322,530.90 × 131,754.44
  4. Step 4: Simplify right side
    233,723x = 42,494,878,112.20
  5. Step 5: Solve for x
    x = 42,494,878,112.20/233,723
  6. Step 6: Final answer
    x = 181,817.27

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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.