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Finding the Fourth Proportional to 166,107, 229,230.90 and 99,039

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Solution

The fourth proportional to 166,107, 229,230.90 and 99,039 is: 136,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,107 : 229,230.90 = 99,039 : x
  2. Step 2: Convert to fraction form
    166,107/229,230.90 = 99,039/x
  3. Step 3: Cross multiply
    166,107x = 229,230.90 × 99,039
  4. Step 4: Simplify right side
    166,107x = 22,702,799,105.10
  5. Step 5: Solve for x
    x = 22,702,799,105.10/166,107
  6. Step 6: Final answer
    x = 136,675.75

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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.