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Finding the Fourth Proportional to 197,912.70, 296,310.15 and 154,051.20

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Solution

The fourth proportional to 197,912.70, 296,310.15 and 154,051.20 is: 230,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,912.70 : 296,310.15 = 154,051.20 : x
  2. Step 2: Convert to fraction form
    197,912.70/296,310.15 = 154,051.20/x
  3. Step 3: Cross multiply
    197,912.70x = 296,310.15 × 154,051.20
  4. Step 4: Simplify right side
    197,912.70x = 45,646,934,179.68
  5. Step 5: Solve for x
    x = 45,646,934,179.68/197,912.70
  6. Step 6: Final answer
    x = 230,641.76

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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.