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Finding the Fourth Proportional to 180,251.89, 270,378.42 and 67,901.95

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Solution

The fourth proportional to 180,251.89, 270,378.42 and 67,901.95 is: 101,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,251.89 : 270,378.42 = 67,901.95 : x
  2. Step 2: Convert to fraction form
    180,251.89/270,378.42 = 67,901.95/x
  3. Step 3: Cross multiply
    180,251.89x = 270,378.42 × 67,901.95
  4. Step 4: Simplify right side
    180,251.89x = 18,359,221,616.41
  5. Step 5: Solve for x
    x = 18,359,221,616.41/180,251.89
  6. Step 6: Final answer
    x = 101,853.15

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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.