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Finding the Fourth Proportional to 165,668.50, 228,624.96 and 90,217

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Solution

The fourth proportional to 165,668.50, 228,624.96 and 90,217 is: 124,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,668.50 : 228,624.96 = 90,217 : x
  2. Step 2: Convert to fraction form
    165,668.50/228,624.96 = 90,217/x
  3. Step 3: Cross multiply
    165,668.50x = 228,624.96 × 90,217
  4. Step 4: Simplify right side
    165,668.50x = 20,625,858,016.32
  5. Step 5: Solve for x
    x = 20,625,858,016.32/165,668.50
  6. Step 6: Final answer
    x = 124,500.78

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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.