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Finding the Fourth Proportional to 178,121.89, 267,200.38 and 51,763.24

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Solution

The fourth proportional to 178,121.89, 267,200.38 and 51,763.24 is: 77,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,121.89 : 267,200.38 = 51,763.24 : x
  2. Step 2: Convert to fraction form
    178,121.89/267,200.38 = 51,763.24/x
  3. Step 3: Cross multiply
    178,121.89x = 267,200.38 × 51,763.24
  4. Step 4: Simplify right side
    178,121.89x = 13,831,157,398.03
  5. Step 5: Solve for x
    x = 13,831,157,398.03/178,121.89
  6. Step 6: Final answer
    x = 77,649.96

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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.