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Finding the Fourth Proportional to 178,137.40, 267,206.10 and 53,462.20

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Solution

The fourth proportional to 178,137.40, 267,206.10 and 53,462.20 is: 80,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,137.40 : 267,206.10 = 53,462.20 : x
  2. Step 2: Convert to fraction form
    178,137.40/267,206.10 = 53,462.20/x
  3. Step 3: Cross multiply
    178,137.40x = 267,206.10 × 53,462.20
  4. Step 4: Simplify right side
    178,137.40x = 14,285,425,959.42
  5. Step 5: Solve for x
    x = 14,285,425,959.42/178,137.40
  6. Step 6: Final answer
    x = 80,193.30

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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.