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Finding the Fourth Proportional to 311,253.88, 466,889.82 and 121,706.56

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Solution

The fourth proportional to 311,253.88, 466,889.82 and 121,706.56 is: 182,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,253.88 : 466,889.82 = 121,706.56 : x
  2. Step 2: Convert to fraction form
    311,253.88/466,889.82 = 121,706.56/x
  3. Step 3: Cross multiply
    311,253.88x = 466,889.82 × 121,706.56
  4. Step 4: Simplify right side
    311,253.88x = 56,823,553,891.22
  5. Step 5: Solve for x
    x = 56,823,553,891.22/311,253.88
  6. Step 6: Final answer
    x = 182,563.36

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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.