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Finding the Fourth Proportional to 178,161.68, 267,242.52 and 72,961.52

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Solution

The fourth proportional to 178,161.68, 267,242.52 and 72,961.52 is: 109,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,161.68 : 267,242.52 = 72,961.52 : x
  2. Step 2: Convert to fraction form
    178,161.68/267,242.52 = 72,961.52/x
  3. Step 3: Cross multiply
    178,161.68x = 267,242.52 × 72,961.52
  4. Step 4: Simplify right side
    178,161.68x = 19,498,420,467.83
  5. Step 5: Solve for x
    x = 19,498,420,467.83/178,161.68
  6. Step 6: Final answer
    x = 109,442.28

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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.