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Finding the Fourth Proportional to 166,148.36, 229,249.70 and 105,697

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Solution

The fourth proportional to 166,148.36, 229,249.70 and 105,697 is: 145,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,148.36 : 229,249.70 = 105,697 : x
  2. Step 2: Convert to fraction form
    166,148.36/229,249.70 = 105,697/x
  3. Step 3: Cross multiply
    166,148.36x = 229,249.70 × 105,697
  4. Step 4: Simplify right side
    166,148.36x = 24,231,005,540.90
  5. Step 5: Solve for x
    x = 24,231,005,540.90/166,148.36
  6. Step 6: Final answer
    x = 145,839.57

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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.