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Finding the Fourth Proportional to 172,226.55, 258,251.29 and 77,375.45

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Solution

The fourth proportional to 172,226.55, 258,251.29 and 77,375.45 is: 116,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,226.55 : 258,251.29 = 77,375.45 : x
  2. Step 2: Convert to fraction form
    172,226.55/258,251.29 = 77,375.45/x
  3. Step 3: Cross multiply
    172,226.55x = 258,251.29 × 77,375.45
  4. Step 4: Simplify right side
    172,226.55x = 19,982,310,229.02
  5. Step 5: Solve for x
    x = 19,982,310,229.02/172,226.55
  6. Step 6: Final answer
    x = 116,023.40

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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.