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Finding the Fourth Proportional to 311,172.22, 466,519.97 and 97,816.70

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Solution

The fourth proportional to 311,172.22, 466,519.97 and 97,816.70 is: 146,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,172.22 : 466,519.97 = 97,816.70 : x
  2. Step 2: Convert to fraction form
    311,172.22/466,519.97 = 97,816.70/x
  3. Step 3: Cross multiply
    311,172.22x = 466,519.97 × 97,816.70
  4. Step 4: Simplify right side
    311,172.22x = 45,633,443,949.50
  5. Step 5: Solve for x
    x = 45,633,443,949.50/311,172.22
  6. Step 6: Final answer
    x = 146,650.12

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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.