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Finding the Fourth Proportional to 165,380.96, 228,198.04 and 97,411.48

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Solution

The fourth proportional to 165,380.96, 228,198.04 and 97,411.48 is: 134,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,380.96 : 228,198.04 = 97,411.48 : x
  2. Step 2: Convert to fraction form
    165,380.96/228,198.04 = 97,411.48/x
  3. Step 3: Cross multiply
    165,380.96x = 228,198.04 × 97,411.48
  4. Step 4: Simplify right side
    165,380.96x = 22,229,108,809.50
  5. Step 5: Solve for x
    x = 22,229,108,809.50/165,380.96
  6. Step 6: Final answer
    x = 134,411.54

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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.