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Finding the Fourth Proportional to 178,136.40, 267,204.60 and 53,461.20

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Solution

The fourth proportional to 178,136.40, 267,204.60 and 53,461.20 is: 80,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,136.40 : 267,204.60 = 53,461.20 : x
  2. Step 2: Convert to fraction form
    178,136.40/267,204.60 = 53,461.20/x
  3. Step 3: Cross multiply
    178,136.40x = 267,204.60 × 53,461.20
  4. Step 4: Simplify right side
    178,136.40x = 14,285,078,561.52
  5. Step 5: Solve for x
    x = 14,285,078,561.52/178,136.40
  6. Step 6: Final answer
    x = 80,191.80

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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.