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Finding the Fourth Proportional to 120,514.80, 180,772.20 and 78,524.40

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Solution

The fourth proportional to 120,514.80, 180,772.20 and 78,524.40 is: 117,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,514.80 : 180,772.20 = 78,524.40 : x
  2. Step 2: Convert to fraction form
    120,514.80/180,772.20 = 78,524.40/x
  3. Step 3: Cross multiply
    120,514.80x = 180,772.20 × 78,524.40
  4. Step 4: Simplify right side
    120,514.80x = 14,195,028,541.68
  5. Step 5: Solve for x
    x = 14,195,028,541.68/120,514.80
  6. Step 6: Final answer
    x = 117,786.60

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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.