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Finding the Fourth Proportional to 178,363.44, 267,310.44 and 99,514.80

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Solution

The fourth proportional to 178,363.44, 267,310.44 and 99,514.80 is: 149,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,363.44 : 267,310.44 = 99,514.80 : x
  2. Step 2: Convert to fraction form
    178,363.44/267,310.44 = 99,514.80/x
  3. Step 3: Cross multiply
    178,363.44x = 267,310.44 × 99,514.80
  4. Step 4: Simplify right side
    178,363.44x = 26,601,344,974.51
  5. Step 5: Solve for x
    x = 26,601,344,974.51/178,363.44
  6. Step 6: Final answer
    x = 149,141.24

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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.