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Finding the Fourth Proportional to 109,496.80, 164,245.20 and 85,877.20

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Solution

The fourth proportional to 109,496.80, 164,245.20 and 85,877.20 is: 128,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,496.80 : 164,245.20 = 85,877.20 : x
  2. Step 2: Convert to fraction form
    109,496.80/164,245.20 = 85,877.20/x
  3. Step 3: Cross multiply
    109,496.80x = 164,245.20 × 85,877.20
  4. Step 4: Simplify right side
    109,496.80x = 14,104,917,889.44
  5. Step 5: Solve for x
    x = 14,104,917,889.44/109,496.80
  6. Step 6: Final answer
    x = 128,815.80

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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.