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Finding the Fourth Proportional to 166,459.50, 229,714.11 and 91,008

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Solution

The fourth proportional to 166,459.50, 229,714.11 and 91,008 is: 125,591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,459.50 : 229,714.11 = 91,008 : x
  2. Step 2: Convert to fraction form
    166,459.50/229,714.11 = 91,008/x
  3. Step 3: Cross multiply
    166,459.50x = 229,714.11 × 91,008
  4. Step 4: Simplify right side
    166,459.50x = 20,905,821,722.88
  5. Step 5: Solve for x
    x = 20,905,821,722.88/166,459.50
  6. Step 6: Final answer
    x = 125,591.04

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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.