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Finding the Fourth Proportional to 341,672.20, 512,654.10 and 164,087.80

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Solution

The fourth proportional to 341,672.20, 512,654.10 and 164,087.80 is: 246,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,672.20 : 512,654.10 = 164,087.80 : x
  2. Step 2: Convert to fraction form
    341,672.20/512,654.10 = 164,087.80/x
  3. Step 3: Cross multiply
    341,672.20x = 512,654.10 × 164,087.80
  4. Step 4: Simplify right side
    341,672.20x = 84,120,283,429.98
  5. Step 5: Solve for x
    x = 84,120,283,429.98/341,672.20
  6. Step 6: Final answer
    x = 246,201.72

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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.