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Finding the Fourth Proportional to 109,704.40, 164,902.20 and 107,630.80

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Solution

The fourth proportional to 109,704.40, 164,902.20 and 107,630.80 is: 161,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,704.40 : 164,902.20 = 107,630.80 : x
  2. Step 2: Convert to fraction form
    109,704.40/164,902.20 = 107,630.80/x
  3. Step 3: Cross multiply
    109,704.40x = 164,902.20 × 107,630.80
  4. Step 4: Simplify right side
    109,704.40x = 17,748,555,707.76
  5. Step 5: Solve for x
    x = 17,748,555,707.76/109,704.40
  6. Step 6: Final answer
    x = 161,785.27

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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.