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Finding the Fourth Proportional to 120,170.20, 179,909.70 and 116,714.20

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Solution

The fourth proportional to 120,170.20, 179,909.70 and 116,714.20 is: 174,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,170.20 : 179,909.70 = 116,714.20 : x
  2. Step 2: Convert to fraction form
    120,170.20/179,909.70 = 116,714.20/x
  3. Step 3: Cross multiply
    120,170.20x = 179,909.70 × 116,714.20
  4. Step 4: Simplify right side
    120,170.20x = 20,998,016,707.74
  5. Step 5: Solve for x
    x = 20,998,016,707.74/120,170.20
  6. Step 6: Final answer
    x = 174,735.64

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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.