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Finding the Fourth Proportional to 166,164.50, 228,729.74 and 144,906.86

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Solution

The fourth proportional to 166,164.50, 228,729.74 and 144,906.86 is: 199,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,164.50 : 228,729.74 = 144,906.86 : x
  2. Step 2: Convert to fraction form
    166,164.50/228,729.74 = 144,906.86/x
  3. Step 3: Cross multiply
    166,164.50x = 228,729.74 × 144,906.86
  4. Step 4: Simplify right side
    166,164.50x = 33,144,508,412.02
  5. Step 5: Solve for x
    x = 33,144,508,412.02/166,164.50
  6. Step 6: Final answer
    x = 199,468.05

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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.