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Finding the Fourth Proportional to 229,414.20, 343,829.70 and 110,830.20

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Solution

The fourth proportional to 229,414.20, 343,829.70 and 110,830.20 is: 166,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,414.20 : 343,829.70 = 110,830.20 : x
  2. Step 2: Convert to fraction form
    229,414.20/343,829.70 = 110,830.20/x
  3. Step 3: Cross multiply
    229,414.20x = 343,829.70 × 110,830.20
  4. Step 4: Simplify right side
    229,414.20x = 38,106,714,416.94
  5. Step 5: Solve for x
    x = 38,106,714,416.94/229,414.20
  6. Step 6: Final answer
    x = 166,104.43

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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.