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Finding the Fourth Proportional to 166,135, 229,186.47 and 108,749.02

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Solution

The fourth proportional to 166,135, 229,186.47 and 108,749.02 is: 150,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,135 : 229,186.47 = 108,749.02 : x
  2. Step 2: Convert to fraction form
    166,135/229,186.47 = 108,749.02/x
  3. Step 3: Cross multiply
    166,135x = 229,186.47 × 108,749.02
  4. Step 4: Simplify right side
    166,135x = 24,923,804,009.76
  5. Step 5: Solve for x
    x = 24,923,804,009.76/166,135
  6. Step 6: Final answer
    x = 150,021.39

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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.