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Finding the Fourth Proportional to 180,952.40, 270,910.20 and 160,216.40

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Solution

The fourth proportional to 180,952.40, 270,910.20 and 160,216.40 is: 239,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,952.40 : 270,910.20 = 160,216.40 : x
  2. Step 2: Convert to fraction form
    180,952.40/270,910.20 = 160,216.40/x
  3. Step 3: Cross multiply
    180,952.40x = 270,910.20 × 160,216.40
  4. Step 4: Simplify right side
    180,952.40x = 43,404,256,967.28
  5. Step 5: Solve for x
    x = 43,404,256,967.28/180,952.40
  6. Step 6: Final answer
    x = 239,865.61

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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.