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Finding the Fourth Proportional to 311,861.21, 467,803.49 and 141,050.43

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Solution

The fourth proportional to 311,861.21, 467,803.49 and 141,050.43 is: 211,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,861.21 : 467,803.49 = 141,050.43 : x
  2. Step 2: Convert to fraction form
    311,861.21/467,803.49 = 141,050.43/x
  3. Step 3: Cross multiply
    311,861.21x = 467,803.49 × 141,050.43
  4. Step 4: Simplify right side
    311,861.21x = 65,983,882,714.75
  5. Step 5: Solve for x
    x = 65,983,882,714.75/311,861.21
  6. Step 6: Final answer
    x = 211,580.93

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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.