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Finding the Fourth Proportional to 230,529.28, 345,793.92 and 119,488

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Solution

The fourth proportional to 230,529.28, 345,793.92 and 119,488 is: 179,232

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,529.28 : 345,793.92 = 119,488 : x
  2. Step 2: Convert to fraction form
    230,529.28/345,793.92 = 119,488/x
  3. Step 3: Cross multiply
    230,529.28x = 345,793.92 × 119,488
  4. Step 4: Simplify right side
    230,529.28x = 41,318,223,912.96
  5. Step 5: Solve for x
    x = 41,318,223,912.96/230,529.28
  6. Step 6: Final answer
    x = 179,232

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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.