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Finding the Fourth Proportional to 194,414.10, 290,843.55 and 168,407.70

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Solution

The fourth proportional to 194,414.10, 290,843.55 and 168,407.70 is: 251,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,414.10 : 290,843.55 = 168,407.70 : x
  2. Step 2: Convert to fraction form
    194,414.10/290,843.55 = 168,407.70/x
  3. Step 3: Cross multiply
    194,414.10x = 290,843.55 × 168,407.70
  4. Step 4: Simplify right side
    194,414.10x = 48,980,293,315.34
  5. Step 5: Solve for x
    x = 48,980,293,315.34/194,414.10
  6. Step 6: Final answer
    x = 251,937.97

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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.