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Finding the Fourth Proportional to 194,264.96, 290,785.92 and 133,940.48

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Solution

The fourth proportional to 194,264.96, 290,785.92 and 133,940.48 is: 200,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,264.96 : 290,785.92 = 133,940.48 : x
  2. Step 2: Convert to fraction form
    194,264.96/290,785.92 = 133,940.48/x
  3. Step 3: Cross multiply
    194,264.96x = 290,785.92 × 133,940.48
  4. Step 4: Simplify right side
    194,264.96x = 38,948,005,702.04
  5. Step 5: Solve for x
    x = 38,948,005,702.04/194,264.96
  6. Step 6: Final answer
    x = 200,489.09

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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.