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Finding the Fourth Proportional to 341,704.20, 512,702.10 and 164,119.80

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Solution

The fourth proportional to 341,704.20, 512,702.10 and 164,119.80 is: 246,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,704.20 : 512,702.10 = 164,119.80 : x
  2. Step 2: Convert to fraction form
    341,704.20/512,702.10 = 164,119.80/x
  3. Step 3: Cross multiply
    341,704.20x = 512,702.10 × 164,119.80
  4. Step 4: Simplify right side
    341,704.20x = 84,144,566,111.58
  5. Step 5: Solve for x
    x = 84,144,566,111.58/341,704.20
  6. Step 6: Final answer
    x = 246,249.73

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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.