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Finding the Fourth Proportional to 230,371.48, 345,414.66 and 89,965

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Solution

The fourth proportional to 230,371.48, 345,414.66 and 89,965 is: 134,891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,371.48 : 345,414.66 = 89,965 : x
  2. Step 2: Convert to fraction form
    230,371.48/345,414.66 = 89,965/x
  3. Step 3: Cross multiply
    230,371.48x = 345,414.66 × 89,965
  4. Step 4: Simplify right side
    230,371.48x = 31,075,229,886.90
  5. Step 5: Solve for x
    x = 31,075,229,886.90/230,371.48
  6. Step 6: Final answer
    x = 134,891.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.