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Finding the Fourth Proportional to 178,296.80, 267,445.20 and 173,112.80

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Solution

The fourth proportional to 178,296.80, 267,445.20 and 173,112.80 is: 259,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,296.80 : 267,445.20 = 173,112.80 : x
  2. Step 2: Convert to fraction form
    178,296.80/267,445.20 = 173,112.80/x
  3. Step 3: Cross multiply
    178,296.80x = 267,445.20 × 173,112.80
  4. Step 4: Simplify right side
    178,296.80x = 46,298,187,418.56
  5. Step 5: Solve for x
    x = 46,298,187,418.56/178,296.80
  6. Step 6: Final answer
    x = 259,669.20

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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.