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Finding the Fourth Proportional to 218,865.40, 328,067.70 and 85,694.20

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Solution

The fourth proportional to 218,865.40, 328,067.70 and 85,694.20 is: 128,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,865.40 : 328,067.70 = 85,694.20 : x
  2. Step 2: Convert to fraction form
    218,865.40/328,067.70 = 85,694.20/x
  3. Step 3: Cross multiply
    218,865.40x = 328,067.70 × 85,694.20
  4. Step 4: Simplify right side
    218,865.40x = 28,113,499,097.34
  5. Step 5: Solve for x
    x = 28,113,499,097.34/218,865.40
  6. Step 6: Final answer
    x = 128,451.09

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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.