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Finding the Fourth Proportional to 164,676.90, 227,166.46 and 100,165.87

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Solution

The fourth proportional to 164,676.90, 227,166.46 and 100,165.87 is: 138,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,676.90 : 227,166.46 = 100,165.87 : x
  2. Step 2: Convert to fraction form
    164,676.90/227,166.46 = 100,165.87/x
  3. Step 3: Cross multiply
    164,676.90x = 227,166.46 × 100,165.87
  4. Step 4: Simplify right side
    164,676.90x = 22,754,325,617.35
  5. Step 5: Solve for x
    x = 22,754,325,617.35/164,676.90
  6. Step 6: Final answer
    x = 138,175.58

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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.