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Finding the Fourth Proportional to 165,221.35, 228,002.65 and 89,769.31

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Solution

The fourth proportional to 165,221.35, 228,002.65 and 89,769.31 is: 123,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,221.35 : 228,002.65 = 89,769.31 : x
  2. Step 2: Convert to fraction form
    165,221.35/228,002.65 = 89,769.31/x
  3. Step 3: Cross multiply
    165,221.35x = 228,002.65 × 89,769.31
  4. Step 4: Simplify right side
    165,221.35x = 20,467,640,568.67
  5. Step 5: Solve for x
    x = 20,467,640,568.67/165,221.35
  6. Step 6: Final answer
    x = 123,880.12

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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.