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Finding the Fourth Proportional to 178,404.20, 267,642.30 and 52,044.20

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Solution

The fourth proportional to 178,404.20, 267,642.30 and 52,044.20 is: 78,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,404.20 : 267,642.30 = 52,044.20 : x
  2. Step 2: Convert to fraction form
    178,404.20/267,642.30 = 52,044.20/x
  3. Step 3: Cross multiply
    178,404.20x = 267,642.30 × 52,044.20
  4. Step 4: Simplify right side
    178,404.20x = 13,929,229,389.66
  5. Step 5: Solve for x
    x = 13,929,229,389.66/178,404.20
  6. Step 6: Final answer
    x = 78,076.80

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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.