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Finding the Fourth Proportional to 178,142.20, 267,213.30 and 84,830.20

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Solution

The fourth proportional to 178,142.20, 267,213.30 and 84,830.20 is: 127,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,142.20 : 267,213.30 = 84,830.20 : x
  2. Step 2: Convert to fraction form
    178,142.20/267,213.30 = 84,830.20/x
  3. Step 3: Cross multiply
    178,142.20x = 267,213.30 × 84,830.20
  4. Step 4: Simplify right side
    178,142.20x = 22,667,757,681.66
  5. Step 5: Solve for x
    x = 22,667,757,681.66/178,142.20
  6. Step 6: Final answer
    x = 127,245.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.