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Finding the Fourth Proportional to 218,976.70, 328,222.05 and 85,812.70

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Solution

The fourth proportional to 218,976.70, 328,222.05 and 85,812.70 is: 128,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,976.70 : 328,222.05 = 85,812.70 : x
  2. Step 2: Convert to fraction form
    218,976.70/328,222.05 = 85,812.70/x
  3. Step 3: Cross multiply
    218,976.70x = 328,222.05 × 85,812.70
  4. Step 4: Simplify right side
    218,976.70x = 28,165,620,310.04
  5. Step 5: Solve for x
    x = 28,165,620,310.04/218,976.70
  6. Step 6: Final answer
    x = 128,623.82

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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.