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Finding the Fourth Proportional to 285,105.20, 427,571.19 and 150,096.20

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Solution

The fourth proportional to 285,105.20, 427,571.19 and 150,096.20 is: 225,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,105.20 : 427,571.19 = 150,096.20 : x
  2. Step 2: Convert to fraction form
    285,105.20/427,571.19 = 150,096.20/x
  3. Step 3: Cross multiply
    285,105.20x = 427,571.19 × 150,096.20
  4. Step 4: Simplify right side
    285,105.20x = 64,176,808,710.62
  5. Step 5: Solve for x
    x = 64,176,808,710.62/285,105.20
  6. Step 6: Final answer
    x = 225,098.70

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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.