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Finding the Fourth Proportional to 175,729.88, 242,566.38 and 106,819.10

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Solution

The fourth proportional to 175,729.88, 242,566.38 and 106,819.10 is: 147,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,729.88 : 242,566.38 = 106,819.10 : x
  2. Step 2: Convert to fraction form
    175,729.88/242,566.38 = 106,819.10/x
  3. Step 3: Cross multiply
    175,729.88x = 242,566.38 × 106,819.10
  4. Step 4: Simplify right side
    175,729.88x = 25,910,722,401.86
  5. Step 5: Solve for x
    x = 25,910,722,401.86/175,729.88
  6. Step 6: Final answer
    x = 147,446.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.