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Finding the Fourth Proportional to 165,022.50, 247,538.61 and 40,363.50

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Solution

The fourth proportional to 165,022.50, 247,538.61 and 40,363.50 is: 60,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,022.50 : 247,538.61 = 40,363.50 : x
  2. Step 2: Convert to fraction form
    165,022.50/247,538.61 = 40,363.50/x
  3. Step 3: Cross multiply
    165,022.50x = 247,538.61 × 40,363.50
  4. Step 4: Simplify right side
    165,022.50x = 9,991,524,684.74
  5. Step 5: Solve for x
    x = 9,991,524,684.74/165,022.50
  6. Step 6: Final answer
    x = 60,546.44

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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.