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Finding the Fourth Proportional to 180,474.28, 270,737.34 and 55,825

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Solution

The fourth proportional to 180,474.28, 270,737.34 and 55,825 is: 83,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,474.28 : 270,737.34 = 55,825 : x
  2. Step 2: Convert to fraction form
    180,474.28/270,737.34 = 55,825/x
  3. Step 3: Cross multiply
    180,474.28x = 270,737.34 × 55,825
  4. Step 4: Simplify right side
    180,474.28x = 15,113,912,005.50
  5. Step 5: Solve for x
    x = 15,113,912,005.50/180,474.28
  6. Step 6: Final answer
    x = 83,745.52

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1.5x scale

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.