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Finding the Fourth Proportional to 164,676.16, 227,072.64 and 107,209.44

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Solution

The fourth proportional to 164,676.16, 227,072.64 and 107,209.44 is: 147,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,676.16 : 227,072.64 = 107,209.44 : x
  2. Step 2: Convert to fraction form
    164,676.16/227,072.64 = 107,209.44/x
  3. Step 3: Cross multiply
    164,676.16x = 227,072.64 × 107,209.44
  4. Step 4: Simplify right side
    164,676.16x = 24,344,330,573.72
  5. Step 5: Solve for x
    x = 24,344,330,573.72/164,676.16
  6. Step 6: Final answer
    x = 147,831.54

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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.