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Finding the Fourth Proportional to 180,042.95, 270,104.61 and 67,724.10

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Solution

The fourth proportional to 180,042.95, 270,104.61 and 67,724.10 is: 101,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,042.95 : 270,104.61 = 67,724.10 : x
  2. Step 2: Convert to fraction form
    180,042.95/270,104.61 = 67,724.10/x
  3. Step 3: Cross multiply
    180,042.95x = 270,104.61 × 67,724.10
  4. Step 4: Simplify right side
    180,042.95x = 18,292,591,618.10
  5. Step 5: Solve for x
    x = 18,292,591,618.10/180,042.95
  6. Step 6: Final answer
    x = 101,601.27

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Why These Related Problems?

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