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Finding the Fourth Proportional to 128,057.60, 191,971.20 and 81,286.40

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Solution

The fourth proportional to 128,057.60, 191,971.20 and 81,286.40 is: 121,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,057.60 : 191,971.20 = 81,286.40 : x
  2. Step 2: Convert to fraction form
    128,057.60/191,971.20 = 81,286.40/x
  3. Step 3: Cross multiply
    128,057.60x = 191,971.20 × 81,286.40
  4. Step 4: Simplify right side
    128,057.60x = 15,604,647,751.68
  5. Step 5: Solve for x
    x = 15,604,647,751.68/128,057.60
  6. Step 6: Final answer
    x = 121,856.48

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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.