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Finding the Fourth Proportional to 230,581.80, 345,872.70 and 141,546.60

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Solution

The fourth proportional to 230,581.80, 345,872.70 and 141,546.60 is: 212,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,581.80 : 345,872.70 = 141,546.60 : x
  2. Step 2: Convert to fraction form
    230,581.80/345,872.70 = 141,546.60/x
  3. Step 3: Cross multiply
    230,581.80x = 345,872.70 × 141,546.60
  4. Step 4: Simplify right side
    230,581.80x = 48,957,104,717.82
  5. Step 5: Solve for x
    x = 48,957,104,717.82/230,581.80
  6. Step 6: Final answer
    x = 212,319.90

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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.