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Finding the Fourth Proportional to 165,308.50, 228,126.54 and 89,857

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Solution

The fourth proportional to 165,308.50, 228,126.54 and 89,857 is: 124,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,308.50 : 228,126.54 = 89,857 : x
  2. Step 2: Convert to fraction form
    165,308.50/228,126.54 = 89,857/x
  3. Step 3: Cross multiply
    165,308.50x = 228,126.54 × 89,857
  4. Step 4: Simplify right side
    165,308.50x = 20,498,766,504.78
  5. Step 5: Solve for x
    x = 20,498,766,504.78/165,308.50
  6. Step 6: Final answer
    x = 124,003.10

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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.