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Finding the Fourth Proportional to 194,564.45, 289,912.56 and 173,341.44

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Solution

The fourth proportional to 194,564.45, 289,912.56 and 173,341.44 is: 258,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,564.45 : 289,912.56 = 173,341.44 : x
  2. Step 2: Convert to fraction form
    194,564.45/289,912.56 = 173,341.44/x
  3. Step 3: Cross multiply
    194,564.45x = 289,912.56 × 173,341.44
  4. Step 4: Simplify right side
    194,564.45x = 50,253,860,624.49
  5. Step 5: Solve for x
    x = 50,253,860,624.49/194,564.45
  6. Step 6: Final answer
    x = 258,289.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.