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Finding the Fourth Proportional to 165,991.95, 229,016.96 and 98,032.97

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Solution

The fourth proportional to 165,991.95, 229,016.96 and 98,032.97 is: 135,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,991.95 : 229,016.96 = 98,032.97 : x
  2. Step 2: Convert to fraction form
    165,991.95/229,016.96 = 98,032.97/x
  3. Step 3: Cross multiply
    165,991.95x = 229,016.96 × 98,032.97
  4. Step 4: Simplify right side
    165,991.95x = 22,451,212,769.17
  5. Step 5: Solve for x
    x = 22,451,212,769.17/165,991.95
  6. Step 6: Final answer
    x = 135,254.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.