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Finding the Fourth Proportional to 362,094.20, 543,141.30 and 194,132.60

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Solution

The fourth proportional to 362,094.20, 543,141.30 and 194,132.60 is: 291,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,094.20 : 543,141.30 = 194,132.60 : x
  2. Step 2: Convert to fraction form
    362,094.20/543,141.30 = 194,132.60/x
  3. Step 3: Cross multiply
    362,094.20x = 543,141.30 × 194,132.60
  4. Step 4: Simplify right side
    362,094.20x = 105,441,432,736.38
  5. Step 5: Solve for x
    x = 105,441,432,736.38/362,094.20
  6. Step 6: Final answer
    x = 291,198.90

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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.