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Finding the Fourth Proportional to 166,077, 229,186.26 and 99,009

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Solution

The fourth proportional to 166,077, 229,186.26 and 99,009 is: 136,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,077 : 229,186.26 = 99,009 : x
  2. Step 2: Convert to fraction form
    166,077/229,186.26 = 99,009/x
  3. Step 3: Cross multiply
    166,077x = 229,186.26 × 99,009
  4. Step 4: Simplify right side
    166,077x = 22,691,502,416.34
  5. Step 5: Solve for x
    x = 22,691,502,416.34/166,077
  6. Step 6: Final answer
    x = 136,632.42

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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.