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Finding the Fourth Proportional to 178,003.66, 267,004.77 and 72,822.55

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Solution

The fourth proportional to 178,003.66, 267,004.77 and 72,822.55 is: 109,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,003.66 : 267,004.77 = 72,822.55 : x
  2. Step 2: Convert to fraction form
    178,003.66/267,004.77 = 72,822.55/x
  3. Step 3: Cross multiply
    178,003.66x = 267,004.77 × 72,822.55
  4. Step 4: Simplify right side
    178,003.66x = 19,443,968,213.56
  5. Step 5: Solve for x
    x = 19,443,968,213.56/178,003.66
  6. Step 6: Final answer
    x = 109,233.53

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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.