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Finding the Fourth Proportional to 311,851.50, 467,806.41 and 101,432.94

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Solution

The fourth proportional to 311,851.50, 467,806.41 and 101,432.94 is: 152,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,851.50 : 467,806.41 = 101,432.94 : x
  2. Step 2: Convert to fraction form
    311,851.50/467,806.41 = 101,432.94/x
  3. Step 3: Cross multiply
    311,851.50x = 467,806.41 × 101,432.94
  4. Step 4: Simplify right side
    311,851.50x = 47,450,979,517.15
  5. Step 5: Solve for x
    x = 47,450,979,517.15/311,851.50
  6. Step 6: Final answer
    x = 152,158.89

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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.