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Finding the Fourth Proportional to 165,494.41, 228,347.44 and 108,217.69

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Solution

The fourth proportional to 165,494.41, 228,347.44 and 108,217.69 is: 149,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,494.41 : 228,347.44 = 108,217.69 : x
  2. Step 2: Convert to fraction form
    165,494.41/228,347.44 = 108,217.69/x
  3. Step 3: Cross multiply
    165,494.41x = 228,347.44 × 108,217.69
  4. Step 4: Simplify right side
    165,494.41x = 24,711,232,474.21
  5. Step 5: Solve for x
    x = 24,711,232,474.21/165,494.41
  6. Step 6: Final answer
    x = 149,317.63

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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.