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Finding the Fourth Proportional to 301,101.71, 415,520.36 and 166,965.71

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Solution

The fourth proportional to 301,101.71, 415,520.36 and 166,965.71 is: 230,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,101.71 : 415,520.36 = 166,965.71 : x
  2. Step 2: Convert to fraction form
    301,101.71/415,520.36 = 166,965.71/x
  3. Step 3: Cross multiply
    301,101.71x = 415,520.36 × 166,965.71
  4. Step 4: Simplify right side
    301,101.71x = 69,377,649,014.43
  5. Step 5: Solve for x
    x = 69,377,649,014.43/301,101.71
  6. Step 6: Final answer
    x = 230,412.67

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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.