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Finding the Fourth Proportional to 165,398.67, 247,985.73 and 84,146

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Solution

The fourth proportional to 165,398.67, 247,985.73 and 84,146 is: 126,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,398.67 : 247,985.73 = 84,146 : x
  2. Step 2: Convert to fraction form
    165,398.67/247,985.73 = 84,146/x
  3. Step 3: Cross multiply
    165,398.67x = 247,985.73 × 84,146
  4. Step 4: Simplify right side
    165,398.67x = 20,867,007,236.58
  5. Step 5: Solve for x
    x = 20,867,007,236.58/165,398.67
  6. Step 6: Final answer
    x = 126,161.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.