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Finding the Fourth Proportional to 150,424.20, 225,722.70 and 56,939.40

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Solution

The fourth proportional to 150,424.20, 225,722.70 and 56,939.40 is: 85,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,424.20 : 225,722.70 = 56,939.40 : x
  2. Step 2: Convert to fraction form
    150,424.20/225,722.70 = 56,939.40/x
  3. Step 3: Cross multiply
    150,424.20x = 225,722.70 × 56,939.40
  4. Step 4: Simplify right side
    150,424.20x = 12,852,515,104.38
  5. Step 5: Solve for x
    x = 12,852,515,104.38/150,424.20
  6. Step 6: Final answer
    x = 85,441.80

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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.