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Finding the Fourth Proportional to 165,617.44, 228,819.28 and 115,540

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Solution

The fourth proportional to 165,617.44, 228,819.28 and 115,540 is: 159,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,617.44 : 228,819.28 = 115,540 : x
  2. Step 2: Convert to fraction form
    165,617.44/228,819.28 = 115,540/x
  3. Step 3: Cross multiply
    165,617.44x = 228,819.28 × 115,540
  4. Step 4: Simplify right side
    165,617.44x = 26,437,779,611.20
  5. Step 5: Solve for x
    x = 26,437,779,611.20/165,617.44
  6. Step 6: Final answer
    x = 159,631.62

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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.