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Finding the Fourth Proportional to 180,676.28, 270,970.86 and 75,438.20

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Solution

The fourth proportional to 180,676.28, 270,970.86 and 75,438.20 is: 113,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,676.28 : 270,970.86 = 75,438.20 : x
  2. Step 2: Convert to fraction form
    180,676.28/270,970.86 = 75,438.20/x
  3. Step 3: Cross multiply
    180,676.28x = 270,970.86 × 75,438.20
  4. Step 4: Simplify right side
    180,676.28x = 20,441,553,930.85
  5. Step 5: Solve for x
    x = 20,441,553,930.85/180,676.28
  6. Step 6: Final answer
    x = 113,139.11

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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.