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Finding the Fourth Proportional to 362,103.80, 543,285.30 and 151,806.20

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Solution

The fourth proportional to 362,103.80, 543,285.30 and 151,806.20 is: 227,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,103.80 : 543,285.30 = 151,806.20 : x
  2. Step 2: Convert to fraction form
    362,103.80/543,285.30 = 151,806.20/x
  3. Step 3: Cross multiply
    362,103.80x = 543,285.30 × 151,806.20
  4. Step 4: Simplify right side
    362,103.80x = 82,474,076,908.86
  5. Step 5: Solve for x
    x = 82,474,076,908.86/362,103.80
  6. Step 6: Final answer
    x = 227,763.63

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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.