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Finding the Fourth Proportional to 194,702.79, 268,811.49 and 149,293.55

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Solution

The fourth proportional to 194,702.79, 268,811.49 and 149,293.55 is: 206,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,702.79 : 268,811.49 = 149,293.55 : x
  2. Step 2: Convert to fraction form
    194,702.79/268,811.49 = 149,293.55/x
  3. Step 3: Cross multiply
    194,702.79x = 268,811.49 × 149,293.55
  4. Step 4: Simplify right side
    194,702.79x = 40,131,821,622.89
  5. Step 5: Solve for x
    x = 40,131,821,622.89/194,702.79
  6. Step 6: Final answer
    x = 206,118.37

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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.