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Finding the Fourth Proportional to 230,244, 345,350.16 and 141,511.20

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Solution

The fourth proportional to 230,244, 345,350.16 and 141,511.20 is: 212,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,244 : 345,350.16 = 141,511.20 : x
  2. Step 2: Convert to fraction form
    230,244/345,350.16 = 141,511.20/x
  3. Step 3: Cross multiply
    230,244x = 345,350.16 × 141,511.20
  4. Step 4: Simplify right side
    230,244x = 48,870,915,561.79
  5. Step 5: Solve for x
    x = 48,870,915,561.79/230,244
  6. Step 6: Final answer
    x = 212,257.06

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Why These Related Problems?

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