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Finding the Fourth Proportional to 178,375.80, 267,563.70 and 162,046.20

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Solution

The fourth proportional to 178,375.80, 267,563.70 and 162,046.20 is: 243,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,375.80 : 267,563.70 = 162,046.20 : x
  2. Step 2: Convert to fraction form
    178,375.80/267,563.70 = 162,046.20/x
  3. Step 3: Cross multiply
    178,375.80x = 267,563.70 × 162,046.20
  4. Step 4: Simplify right side
    178,375.80x = 43,357,680,842.94
  5. Step 5: Solve for x
    x = 43,357,680,842.94/178,375.80
  6. Step 6: Final answer
    x = 243,069.30

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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.