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Finding the Fourth Proportional to 180,037.44, 270,049.20 and 45,101.28

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Solution

The fourth proportional to 180,037.44, 270,049.20 and 45,101.28 is: 67,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,037.44 : 270,049.20 = 45,101.28 : x
  2. Step 2: Convert to fraction form
    180,037.44/270,049.20 = 45,101.28/x
  3. Step 3: Cross multiply
    180,037.44x = 270,049.20 × 45,101.28
  4. Step 4: Simplify right side
    180,037.44x = 12,179,564,582.98
  5. Step 5: Solve for x
    x = 12,179,564,582.98/180,037.44
  6. Step 6: Final answer
    x = 67,650.18

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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.