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Finding the Fourth Proportional to 311,942.70, 468,076.05 and 145,730.70

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Solution

The fourth proportional to 311,942.70, 468,076.05 and 145,730.70 is: 218,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,942.70 : 468,076.05 = 145,730.70 : x
  2. Step 2: Convert to fraction form
    311,942.70/468,076.05 = 145,730.70/x
  3. Step 3: Cross multiply
    311,942.70x = 468,076.05 × 145,730.70
  4. Step 4: Simplify right side
    311,942.70x = 68,213,050,419.74
  5. Step 5: Solve for x
    x = 68,213,050,419.74/311,942.70
  6. Step 6: Final answer
    x = 218,671.73

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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.