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Finding the Fourth Proportional to 362,105.80, 543,288.30 and 151,808.20

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Solution

The fourth proportional to 362,105.80, 543,288.30 and 151,808.20 is: 227,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,105.80 : 543,288.30 = 151,808.20 : x
  2. Step 2: Convert to fraction form
    362,105.80/543,288.30 = 151,808.20/x
  3. Step 3: Cross multiply
    362,105.80x = 543,288.30 × 151,808.20
  4. Step 4: Simplify right side
    362,105.80x = 82,475,618,904.06
  5. Step 5: Solve for x
    x = 82,475,618,904.06/362,105.80
  6. Step 6: Final answer
    x = 227,766.63

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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.