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Finding the Fourth Proportional to 165,712.80, 228,730.32 and 149,383.20

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Solution

The fourth proportional to 165,712.80, 228,730.32 and 149,383.20 is: 206,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,712.80 : 228,730.32 = 149,383.20 : x
  2. Step 2: Convert to fraction form
    165,712.80/228,730.32 = 149,383.20/x
  3. Step 3: Cross multiply
    165,712.80x = 228,730.32 × 149,383.20
  4. Step 4: Simplify right side
    165,712.80x = 34,168,467,138.62
  5. Step 5: Solve for x
    x = 34,168,467,138.62/165,712.80
  6. Step 6: Final answer
    x = 206,190.87

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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.