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Finding the Fourth Proportional to 311,391.40, 467,086.92 and 101,029.36

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Solution

The fourth proportional to 311,391.40, 467,086.92 and 101,029.36 is: 151,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,391.40 : 467,086.92 = 101,029.36 : x
  2. Step 2: Convert to fraction form
    311,391.40/467,086.92 = 101,029.36/x
  3. Step 3: Cross multiply
    311,391.40x = 467,086.92 × 101,029.36
  4. Step 4: Simplify right side
    311,391.40x = 47,189,492,591.97
  5. Step 5: Solve for x
    x = 47,189,492,591.97/311,391.40
  6. Step 6: Final answer
    x = 151,543.98

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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.