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Finding the Fourth Proportional to 299,196.11, 412,834.15 and 178,348.67

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Solution

The fourth proportional to 299,196.11, 412,834.15 and 178,348.67 is: 246,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,196.11 : 412,834.15 = 178,348.67 : x
  2. Step 2: Convert to fraction form
    299,196.11/412,834.15 = 178,348.67/x
  3. Step 3: Cross multiply
    299,196.11x = 412,834.15 × 178,348.67
  4. Step 4: Simplify right side
    299,196.11x = 73,628,421,289.97
  5. Step 5: Solve for x
    x = 73,628,421,289.97/299,196.11
  6. Step 6: Final answer
    x = 246,087.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.