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Finding the Fourth Proportional to 166,149.36, 229,251.08 and 105,698

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Solution

The fourth proportional to 166,149.36, 229,251.08 and 105,698 is: 145,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,149.36 : 229,251.08 = 105,698 : x
  2. Step 2: Convert to fraction form
    166,149.36/229,251.08 = 105,698/x
  3. Step 3: Cross multiply
    166,149.36x = 229,251.08 × 105,698
  4. Step 4: Simplify right side
    166,149.36x = 24,231,380,653.84
  5. Step 5: Solve for x
    x = 24,231,380,653.84/166,149.36
  6. Step 6: Final answer
    x = 145,840.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.