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Finding the Fourth Proportional to 311,222.52, 466,876.98 and 100,792.44

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Solution

The fourth proportional to 311,222.52, 466,876.98 and 100,792.44 is: 151,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,222.52 : 466,876.98 = 100,792.44 : x
  2. Step 2: Convert to fraction form
    311,222.52/466,876.98 = 100,792.44/x
  3. Step 3: Cross multiply
    311,222.52x = 466,876.98 × 100,792.44
  4. Step 4: Simplify right side
    311,222.52x = 47,057,669,994.03
  5. Step 5: Solve for x
    x = 47,057,669,994.03/311,222.52
  6. Step 6: Final answer
    x = 151,202.65

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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.